Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 142142: Find the sum of the first nine terms of the arithmetic series.
2 - 5 - 12 - 19 - ...
Click here to see answer by nabla(475)

Question 142080: Please help with this problem.

A first year Calculus class test gave the following information: Mean of 63 and a Standard Deviation of 12. Answer the questions:
A. If 800 took the test how many passes with a 51% or higher?
b. What is the standard score of 39%?
C. If a student got and 82%, what is the standard score?
Click here to see answer by nabla(475)

Question 142221: find the explicit formula
a7=-10 and a13=-48
Click here to see answer by Edwin McCravy(8908)

Question 142222: find the summation notation of
7+14+28+....+896
Click here to see answer by Edwin McCravy(8908)

Question 142222: find the summation notation of
7+14+28+....+896
Click here to see answer by jma(1)

Question 142327: The average of x,y, andz is 80. If two of the numbers are 74 and 78, then what is the other number.
Mrs Jones is installing wall to wall carpet in a room that measures 12 1/2ft by 9 2/3 ft. how much will it cost if the carpet is $26.00 per square yard?

Thank you
Click here to see answer by stanbon(57337)

Question 142422: I am unsure how to translate this question into an equation. I can figure out the likely answr but I need to show my work. Can you help me?
Use inductive reasoning to determine the next three numbers in the pattern: 2x
Thx Karen
Click here to see answer by checkley77(12569)

Question 142424: Please help me to solve this showing y work. I have a hard time translating into an equation
Make a conjecture about the relationship between the original number and the final number in the following process.
Pick a number
Multiply the number by 12
Add 12 to the product
Divide the sum by 4
Subtract 3 from the quotient

Click here to see answer by checkley77(12569)

Question 142441: Mike invested $6000 for one year. He invested part of it at 9% and the rest at 11%. At the end of the year he earned $624 in interest. How much did he invest at each rate?

Click here to see answer by checkley77(12569)

Question 142439: I need to translate this into an equation and solve it showing all of my work and I do not know how
Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain?
Thank you so much
Click here to see answer by checkley77(12569)

Question 142442: Please Help me show my work on this px. I can't translate to an eqation and then solve
Thank you
Click here to see answer by rapaljer(4667)

Question 142676: The question is asking for the rule for the nth term for this sequence: (-5, 10, -15, 20, ...)
I can't figure out how to get alternating postive and negative numbers.
-25: an = -5n^(???) is among the many ideas I have tried.
(an means "a sub n")
Click here to see answer by scott8148(6628)

Question 143147: FInd the sum: (-2) + 2 + 6 + ... + 150
A) 2925
B) 2886
C) 5772
D) 592
Click here to see answer by oscargut(891)

Question 143430: Infinite geometric series.
The question asks me to write the repeating decimal .999... as a fraction.
I think it is 9/9.00 infinetly and then a 1 but I have no idea how yo write that.
Thanks for the help
Click here to see answer by stanbon(57337)

Question 143748: the pairs of numbers below follow the same pattern. What is the pattern?
28 and 16 34 and 19 30 and 17 24 and ?
Click here to see answer by vleith(2825)

Question 144040: I have the sequence 2,5,9,14,20,27,35,44...
How can I find an explicit formula to find the nth term? How can I find the nth term if An = 324?
Click here to see answer by stanbon(57337)

Question 144227: select the next number in the series:
298 209 129 58 -4
choices are -13, -93, -66, -57
Click here to see answer by stanbon(57337)

Question 144227: select the next number in the series:
298 209 129 58 -4
choices are -13, -93, -66, -57
Click here to see answer by MathLover1(6628)

Question 144249: Can some please help me?
The half life of Thorium-232 is 14 billion years. Make a table showing the half-life decay of a sample of Thorium-232 from 16 grams to 1 gram, with the time in years in the first column and the mass in grams in the second column. The sequence representing the mass of Thorium-232 is an example of the arithmetic series.
Is this true or false
THANK YOU !!!
Click here to see answer by scott8148(6628)

Question 144300: difference of Rational Expressions, Part 1 (Alg2.1)
Click here to see answer by solver91311(16877)

Question 144243: PLEASE HELP ME
The sum of the geometric series 42-7+(7/6)...+42(-1/6)^9 is approzimately
a. 34.833333
b. -0.857
c. 35.9999994
d. -35.99999643
THANK YOU

Click here to see answer by nabla(475)

Question 144811: Its about general terms. I dont get them at ALL!! like one practice problem says find the general term for 8,1,-6,-13,-20. Please help!!
Click here to see answer by solver91311(16877)

Question 144841: The sum of the first 6 multiples of 8 , starting with 8 ,is
Click here to see answer by jim_thompson5910(28593)

Question 144841: The sum of the first 6 multiples of 8 , starting with 8 ,is
Click here to see answer by vleith(2825)

Question 144990: I dont know how to write a recursive rule for the sequence.
Click here to see answer by solver91311(16877)

Question 145545: next term in the sequence 81,27,9,3,...
Click here to see answer by nabla(475)

Question 145718: a worker is hired for 20 days. on the first day he makes 1 cent on the 2nd day he makes 2 cents and the pay doubles each day. What is the total pay?
Click here to see answer by Earlsdon(6287)

Question 145977: I am taking and entrance exam to get into a trade school Im having problems with these type of problems.Can you explain how to come up with the answer to some these questions namely no.2? Whatever help you can offer me would be greatly appreciated.
Thank You
Sincerely
Louis Gordon-HayIII
1. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost?
A. $325
B. $375
C. $400
D. $408
E. $425
2. If y(x-1)=z then x=
A. y-z
B. z/y + 1
C. y(z-1)
D. z(y-1)
E. 1-zy
3. Which of the following values is NOT equal to 34(58+9)?
A. 34 x 67
B. 58(34+9)
C. 34 x 58 + 34 x 9
D. 1,972 + 306
E. (9 + 58) 34
4. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle?
A. 50°
B. 55°
C. 60°
D. 80°
E. 90°
5. If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal to how many ounces?
A. 863
B. 878
C. 896
D. 915
E. 932
6. Which year did the most children take swimming lessons?

A. 1990
B. 1991
C. 1992
D. 1994
E. 1995
7. Between which year did the largest decrease in children taking swimming lessons occur?
A. 1990-1991
B. 1991-1992
C. 1992-1993
D. 1993-1994
E. 1994-1995
8. What was the average number of children taking swim lessons from 1990 to 1995?
A. 250
B. 308
C. 385
D. 450
E. 1,850
9. Which of the following is equal to 5.93 x 10-2?
A. 0.0593
B. 0.00593
C. 593
D. 5930
E. 59300
10. On a Map, 1 inch represents 20 miles. The distance between 2 towns is 6 1/5 inches. How many miles are actually between the two towns?
A. 65 miles
B. 84 miles
C. 124 miles
D. 138 miles
E. 145 miles
11. Which of the following is a correct graph of x>1, x <4?

A. Line A
B. Line B
C. Line C
D. Line D
E. Line E
12. How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed?
A. 18
B. 24
C. 32
D. 36
E. 43
13. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother?
A. 10
B. 15
C. 20
D. 25
E. 30
14. Which of the following fractions is equal to 5/6?
A. 20/30
B. 15/24
C. 25/30
D. 40/54
E. 2/7
15. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard?
A. $224.51
B. $237.60
C. $246.55
D. $271.38
E. $282.32
16. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000?
A. $6,000
B. $8,500
C. $12,000
D. $15,000
E. $18,500
17. You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line?
A. 50 feet
B. 75 feet
C. 120 feet
D. 130 feet
E. 150 feet
18. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour?
A. 8.1
B. 8.3
C. 8.6
D. 8.9
E. 9.0
19. If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost?
A. $32.48
B. $64.96
C. $97.44
D. $129.92
E. $194.88
20. If 3x=6x-15 then x + 8=
A. 5
B. 10
C. 11
D. 12
E. 13
21. The number of milliliters in 1 liter is
A. 10,000
B. 1,000
C. 0.1
D. 0.01
E. 0.001
22. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle?
A. 1
B. 2
C. 3
D. 4
E. 5
23. What is 1/9 of 9?
A. 1/9
B. 0
C. 1
D. 2
E. 3
24. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?
A. 3
B. 7
C. 8
D. 9
E. 11
25. Which fraction is equal to 0.20%?
A. 1/20
B. 1/40
C. 1/50
D. 1/400
E. 1/500
26. Find the missing term in the following sequence: 4, 9, 19, __, 79
A. 36
B. 37
C. 38
D. 39
E. 40
27. How much money did Jessica's budget allow for housing in April of 2001?

Click here to see answer by nerdybill(6958)

Question 146054: what is the geometric series -...+ in summation notation?
Click here to see answer by Edwin McCravy(8908)

Question 146348: sum of(1+2+4+8+16+.........30th term)
Click here to see answer by aswathytony(47)

Question 146451: Write the linear function for which f (0) = -4 and f (2) = 8.
Thank you
Click here to see answer by 24HoursTutor.com(40)

Question 146451: Write the linear function for which f (0) = -4 and f (2) = 8.
Thank you
Click here to see answer by jim_thompson5910(28593)

Question 146668: Determine whether g(x)= 2x 3squar - 3x is even, odd, or neither
Thanks
Click here to see answer by jim_thompson5910(28593)

Question 146996: Does anyone know how to Find the inverse of f(x)=x^5 ?
Thanks
Click here to see answer by Fombitz(13828)

Question 146994: Does anyone know how to Find the inverse of f (x)=∛(x-1) (cube root of x-1) ?
Thanks
Click here to see answer by Fombitz(13828)

Question 147150: A small area in front of a building is triangular in shape. The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region.
Click here to see answer by nerdybill(6958)

Question 147003: Can someone help me with this, not sure how to go about this...
Using the formula, n^2=(k(k+1)(2k+1))/6 compute the value of
where m=0 and 5

Click here to see answer by Nate(3500)

Question 146982: please help me solve this sum on summation of series:
+ ···
Click here to see answer by Edwin McCravy(8908)

Question 149335: I need help. Could you please teach me how to get the next three terms of this series?
1 4 9 61 59 94 _ _ _
Thank you very much.
I'm sorry to tell you that this question came from the math teacher that's why I can't furnish the book source.

Click here to see answer by 8336625(3)

Question 149402: how do you figure out the nth term of :
21,19,17,15...
please help!!! xxx

Click here to see answer by jim_thompson5910(28593)

Question 149402: how do you figure out the nth term of :
21,19,17,15...
please help!!! xxx

Click here to see answer by stanbon(57337)

Question 149421: find the sum of the geometric series
6
[SUM] 2^n
n=1

n=1 2^1=2
n=2 2^2=4
n=3 2^3=8
n=4 2^4=16
n=5 2^5=32
n=6 2^6=64
2+4+8+16+32+64= 126
am I doing this correctly?
Click here to see answer by jim_thompson5910(28593)

Question 149448: to find the first 3 terms of the Recursively defined sequence:
a1=5 , an=2a n-1
for the answer I got 5,10,20...
is this correct?
Click here to see answer by Fombitz(13828)

Question 149448: to find the first 3 terms of the Recursively defined sequence:
a1=5 , an=2a n-1
for the answer I got 5,10,20...
is this correct?
Click here to see answer by jim_thompson5910(28593)

Question 150240: Im stuck on this problem. Please help me by showing all the steps and equation. I know the answer is A. -1/8, but i don't know how the problem is solved. Please help me. Thank you!
1. What is the next term in the geometric sequence 16, –4, 1, – 1/4 ,... ?
A. –1/8
B. 0
C. 1/16
D. 1/8
E. 1/2
Click here to see answer by mangopeeler07(462)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645