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 597867: 6 is 4% of what number?
Click here to see answer by solver91311(16885)

Question 597871: -2(w+5)-(2-8w)=5w
Click here to see answer by rfer(12660)

Question 598247: Find the next six terms of the sequence an=n^3-8
Click here to see answer by solver91311(16885)

Question 598759: 3. The sequence 52,51,48,43,34,27,18 is wrong. Could you tell because of which number it is going wrong?
a 34 b 27 c 48 d 18

Click here to see answer by ojasvisunita(5)

Question 598796: In the geometric sequence find r and the 10th term.
a) 4, 12, 36,108...
b) 972, -324, 108, -36...
Not really sure what to do here. Thank you.
Click here to see answer by KMST(1868)

Question 599111: There were 126 people that ordered food. 87 ordered cold food and 92 ordered hot food. How many ordered both cold and hot?
Click here to see answer by flame8855(424)

Question 599525: A playground is being designed where children can interact with their friends in certain combinations.
If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 6 interactions.
If there are 3 children, there can be 15 interactions.
If there are 4 children, there can be 27 interactions.
How many interactions will there be for 7 children?

Click here to see answer by stanbon(57354)

Question 599642: Find the number of terms. Use the sum formula.
1+2+4+...+2048
2048=1*2^n-1
2048=2^n-1
I don't know where to go from here.
Click here to see answer by Alan3354(30993)

Question 599716: The sum of three consecutive odd integers is 345. Find the largest of these three numbers.
Click here to see answer by ankor@dixie-net.com(15652)

Question 600139: Karen tees up on the 9th hole at a golf course for a 200 yard hole. She makes an initial drive (first shot) directly toward the hole. Her second shot travels 50 yards. Karen's third shot travels 25 yards, her fourth 12.5 yards, and so on in this pattern. Assume that the first shot fits the pattern and that the ball continues directly toward the hole on each shot.

Find the first shot less than 10 yards from the hole and the first shot less than 5 yards from the hole? Find the distance covered by the ball. Will the ball travel 200 yards? Explain why or why not. Use two different methods to justify your reasoning.
Click here to see answer by htmentor(789)

Question 600359: What is the missing numbers in the sequence 9 ? 29 39 ? 59
Click here to see answer by jim_thompson5910(28595)

Question 600375: what are the missing numbers 3/4 ? 27/64 81/256 ? 729/4096
Click here to see answer by dhartman0220(8)

Question 600581: Sum of Arithmetic sequence 1,-1,-3...-13

Find missing term in arithmetic sequence -17, a2, a3, 1

Find missing term in arithmetic sequence 1, a2, a3, a4, -35
Click here to see answer by Nihal@SriLanka(21)

Question 600645: Which number is prime?

A.
91

B.
53

C.
27

D.
14
Click here to see answer by jim_thompson5910(28595)

Question 600666: Please help me find the next term in the sequence: 1, -3, 9, -27...
Click here to see answer by jim_thompson5910(28595)

Question 601530: For the sequence a(subscript n)=(n+1)
its first term is=
its second term is=
its third term is=
its fourth term is=
its 100th term is=
Click here to see answer by flame8855(424)

Question 601673: Sigma notation/Integers
Find the value of 82
E (6+4i) (the "E" is meant to represent sigma and the 82 is supposed to be above it)
i=17
I have got the sequence worked out i.e. 6+4x17= 74
6+4x18= 78 etc.
However not sure where to go or whether I am going in the right direction!
Click here to see answer by Edwin McCravy(8909)

Question 601949: find the thirteenth term of the following sequence -6, -4, -2, 0....
Click here to see answer by flame8855(424)

Question 602056: 2,5,10,17
Click here to see answer by Alan3354(30993)

Question 601527: Insert 3 arithmetic means between -19 and 59.
Use a formula and show your work.
-19, _____, _____, _____, 59

Click here to see answer by richard1234(5390)

Question 602242: Could a tutor please help? Given f(x)= e^(2x), find the first three nonzero terms of the maclaurin series for the function. Thank you much!
Click here to see answer by richard1234(5390)

Question 602616: One sequence is 7,11,15,19,23... Second sequence is 1,10,19,28,37 - the number 19 is in both sequences. If both sequences continue, what is the next number that is in both sequences?
Click here to see answer by solver91311(16885)

Question 602994: complete the series 10, 18, 40, 78, 112,?
Click here to see answer by AnlytcPhil(1277)

Question 603123: What is the sum of an arithmetic series with Sigma (n on top, k=50 on the bottom, and the equation is just k.) This should be easy but I'm just having a major brain fart today...
Click here to see answer by KMST(1868)

Question 603294: I'm supposed to find the specific term of each arithmetic sequence. The problem is : t1=5, t3=20; and I need to find t subscript 12. I can use the equation tn=t1+(n-1)d if that helps you any? Thanks for the help.
Click here to see answer by htmentor(789)

Question 603355: write a recursive definition for the sequence 4,10,16,22,.....
Click here to see answer by lynnlo(4164)

Question 603569: What is the sum of 2+4+6+8+10+12 using the formula for the partial sum of arithmetic series?
Click here to see answer by jim_thompson5910(28595)

Question 603677: The first number is 1 and the 58th number is 3. what are the numbers in between 1 & 3 (from 2nd to 57th)? thank you very much for the answer..
Click here to see answer by Edwin McCravy(8909)

Question 604057: Will you show me how to evaluate this problem. 2+5+8+11+.....; S9 I know it is an Arithmatic series, I just don't know how to evaluate it!
Click here to see answer by jim_thompson5910(28595)

Question 604590: I need help finding the vertex of the parabola: y= -6.25x²+ 150x + 7200?
I have graphed it and found the vertex to be (12, 8100) but I need to be able to find it algebraically. I tried taking the derivative but I'm not sure I was doing that right or if thats how I should approach it. Please explain your steps, so that i can learn what and why you are doing what you do. Thanks in advance for all the help.
Click here to see answer by nerdybill(6959)

Question 604635: What is the difference between 200th and 300th term of the sequence 1,3,7,15.....?and how to solve it
Click here to see answer by scott8148(6628)

Question 604718: Find the number of terms in the sequence 5,2,-1,...,-37
The next term in 3,6,12,24,48,...
The 100th term in 6,8,17,26,35,...
Given that the sequence 1,6,x,y,20,...is a Fibonacci sequence, find x and y.
Click here to see answer by stanbon(57354)

Question 605399: Evaluate the arithmetic series where t1=42, tn=146, and n=14.

Click here to see answer by jim_thompson5910(28595)

Question 605754: how can i find the 10th sequence for the sequences 1+3+6+10+...
Click here to see answer by mathie123(224)

Question 605848: find the sum of each.
2.3+2.6+2.9+....; 40th term
Click here to see answer by htmentor(789)

Question 605844: find the exact value of the indicated term of each sequence.( show the formula and work)
4,-12,36,-108,...find a15
Click here to see answer by htmentor(789)

Question 606787: 2006 is the product of three primes, 2 × 17 × 59.
Find the first year that occurs after 2006,
which is the product of three consecutive primes.
Show or explain how you got your answer.

Click here to see answer by solver91311(16885)

Question 606802: A new car valued at $26,000 depriciates at a rate of 10% per year. How much will the car be worth (a) when it's 8 years old. (b) when it's 9 years old.
This is a question on my geometric sequences assignment. I don't have any examples of this in my notebook and I can't really figure out how to solve it using the rules of geometric sequences. Could anyone explain how to solve it to me please?
Click here to see answer by scott8148(6628)

Question 607094: "Find the 4th term in binomial expression (2x+3y)with a coefficient of 6.
Click here to see answer by lynnlo(4164)

Question 607048: give the first four terms of the arithemtic sequence for which a1=-22 and r=5
Click here to see answer by KMST(1868)

Question 607114: What is the nth rule for 0,,,?
Click here to see answer by Edwin McCravy(8909)

Question 607190: Find the 15th term of the given sequence -9, 27 , -81.....
Click here to see answer by MathLover1(6634)

Question 607239: Hi Tutors,
Help me please, if you may? I'm not sure what to do.

Give an example of an arithmetic sequence that is found in the real world. Find the common difference and write a recursive and iterative rule for the sequence. Use one of the rules to find another term of the sequence.
Then give an example of a geometric sequence that is found in the real world. Find the common ratio and write a recursive and iterative rule for the sequence. Use a rule to find any term.
Then clearly explain why each example is either an arithmetic or geometric sequence.
Click here to see answer by stanbon(57354)

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