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

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Algebra: Sequences of numbers, series and how to sum them

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Question 186300: please solve this sequence and find the 7th term.
1,2,6,42,1806..
Click here to see answer by scott8148(3382)

Question 186565: x=b[A/p + G/c]
Click here to see answer by stanbon(26285)

Question 186780: Deanna received an e-mail asking her to forward it to 10 other people. Assume that no one breaks the chain and that there are no duplicate recipients. How many e-mails will have been sent after 8 generations, including Deanna's?
Could you do this problem? Thank you for your help.
Click here to see answer by josmiceli(3012)

Question 187032: 6x + 3y – 2x – 5y
Click here to see answer by mastermath(14)

Question 187230: how do i find the sum of this series? 25 is on top of the ∑ symbol i=1 with (4i+1)
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Question 187914: What is the sum of the 3rd and 5th term in the sequence where the nth term is 3n - 4?

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Question 188491: please help me solve this problem:
two consecutive positive integers have the property that one integer times twice the other equals 612. What is the sum of these two integers?

thank you!
Click here to see answer by Alan3354(6090)

Question 188490: What is the algebraic expression that describes the sequence (-2,1,6,13,22)?
Click here to see answer by Mathtut(3670)

Question 188531: Lauren has $1,200.00. She plans to take $10.00 out of her account, the 1st week, after that she adds $10 to the amount each week. example is 1st week is $10.00, 2nd week is $20.00, 3 week is $30.00 and so on. How many weeks before her account is empty?
My teacher said to use the following formula:
1200 = $10 + (n-1)$10
But when I figure it out it comes up with 120 and I know that is incorrect.
Do you know what part of the formula that I am missing or is there another formula I should be using?
thank you for any help you can give me.
Lauren Pease

Click here to see answer by solver91311(5072)

Question 188385: I want all famous solved convergent sequences in details plz
thanx alot :)
Click here to see answer by Mathtut(3670)

Question 189127This question is from textbook algebra and trigonometry
: i need to know the steps on how to do this problem:
for each geometric series, find the sum. if the series has no sum, say so.

1. 24+12+6+3+...This question is from textbook algebra and trigonometry

Click here to see answer by stanbon(26285)

Question 189365: in a certain school system, the starting salary for a teacher is $12,000 with an annual raise of $1,150 each year until a maximum salary of $28,100 is reached. how many years must a person teach in order to reach the maximum salary?
Click here to see answer by Mathtut(3670)

Question 189875This question is from textbook
: Write a rule for the nth term of the arithmetic sequence. Then find a20
-3,-1,1,3,5,...This question is from textbook

Click here to see answer by user_dude2008(716)

Question 190403: Write the series in summation notation.
1+5+9+13+17
Click here to see answer by jim_thompson5910(13794)

Question 190403: Write the series in summation notation.
1+5+9+13+17
Click here to see answer by solver91311(5072)

Question 190402: Write the next term in the sequence. Then write a rule for the nth term.
-5, 10, -15, 20,...
Click here to see answer by Edwin McCravy(2922)

Question 190542: inductive reasoning to complete next three numbers in pattern
1, 1/3,1/9,1/27.....
Click here to see answer by Earlsdon(4900)

Question 190692: Use inductive reasoning to determine the next three numbers in the pattern:
1;1/3;1/9;1/27;...
My Reasoning:
I thought that 3 times 3 (from 1/3) is 9 and 3 times 9 (from the 1/9) is 27. So the next numbers would be 1/81;1/243;1/729 but I wasn't sure

Click here to see answer by user_dude2008(716)

Question 191365: wats this writen in sigma notation
5+10+15+25.........
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Question 191779This question is from textbook saxon algebra 2
: Find the 18th term of the arithmetic sequence 12, 5, -2, -9
a18=-107
Am I correct?This question is from textbook saxon algebra 2

Click here to see answer by RAY100(1637)

Question 192065This question is from textbook Saxon Algebra 2
: Find a8 of a geometric sequence given that a3 = 32 and a5 = 512.This question is from textbook Saxon Algebra 2

Click here to see answer by nerdybill(2446)

Question 192378: decide whether the sequence is arithmetic. explain why or why not.
14,11,8,5,2,...
Click here to see answer by Edwin McCravy(2922)

Question 192378: decide whether the sequence is arithmetic. explain why or why not.
14,11,8,5,2,...
Click here to see answer by solver91311(5072)

Question 192376: decide whether the sequence is arithmetic. Explain why or why not.
14,11,8,5,2
Click here to see answer by Mathtut(3670)

Question 192686: how many of the first n natural numbers must be added to produce a sum of 4950?
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Question 192687: find three numbers in arithmetic progression whose sum is 21 and whose product is 180?
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Question 193105: P(A)= 0.3
P(B/A)= 0.6
P(A and B)= ?
Click here to see answer by stanbon(26285)

Question 193377: My daughters school has asked for a formula for the pattern:
5,3,1,-1,-3
I have tried all formulas but just cant seem to figure it out?
shouldnt the series actually be -3,-1,1,3,5
Regards
Nilesh
Click here to see answer by yuendatlo(23)

Question 193422This question is from textbook Algebra and Trignometry
: the problem that i need help on states: Sebastian has a test that has 20 questions on it. The first question is worth one point, and each question after the first is worth four points more than the question before it. What is the maximum score Sebastian can obtain? Please help asap!This question is from textbook Algebra and Trignometry

Click here to see answer by stanbon(26285)

Question 193594: Please help..the question is use and arithmetic sequence to find how many multiples of seven are between 11 and 391? ive tried setting it up as a1=11 and and a sub n= 391, but i dont know what what to do after that.
Click here to see answer by stanbon(26285)

Question 193885: the second term of the infinite geometric series,
a + ar + ar^2 + ar^3......
is eaqual to 4 and the same to infinity of this series is 18. Find the two possible values of the common ratio, r. what are the corresponding values of a?
Click here to see answer by radikrr(7)

Question 193992: Which is the next number in the series:
-1,0,3,8,15,24,35,...
Click here to see answer by orca(409)

Question 193993: which is contrapositive to the statement? If x<10, then y>=(-4)
1.if x<-10 then y>=4
2.if y>=4 then x<-10
3. if x>=10 then y<(-4)
4. if y<-4 then x>=10
Click here to see answer by edjones(3298)

Question 194091: what is the one millionth term in the sequence 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5.....in which each positive integer n occurs n times
please help me to solve this!!!
i really don't know how to solve
Click here to see answer by jim_thompson5910(13794)

Question 194260: a piece of bone from an organism is found to contain 10% of the carbon- 14 that it contained when the organism was living. if the half- life of carbon -14 is 5730 years then how long ago was the organism was alive?
please i need help!!!!!
i really dont know how to solve help please...
Click here to see answer by scott8148(3382)

Question 194323This question is from textbook saxon algebra2
: What is the summation notation of 8+2-4-10-16?
I get 4 for the upper limit of summation
k=0 for the index
Greek letter sigma,8-6k
Does anyone have a clue?
This question is from textbook saxon algebra2

Click here to see answer by user_dude2008(716)

Question 194333: a right triangle has one vertex on the graph of y = x^2 at (x,y),another at the origin, and the third on the positive y- axis at (0,y). express the area A of the triangle as a function of x. for what value of x will be the area of the triangle be equal to 30 square units?
please help me to solve!!!!
please i really don't know how to solve!!!
please.....help
Click here to see answer by jim_thompson5910(13794)

Question 194421: I am not sure if this is the right category but, how do you solve system of equations?
EX: 2x+y-z=9
x+2y=z=-8
x=3y-2z=11
Im really lost. i cant figure it out! thank you somuch for your help

Click here to see answer by checkley77(7069)

Question 194494: what is sum of all multiples of 6 that are strictly between 3138 and 51804?
please help i my exam is 05/07/09 so it is urgent please help!!!!!!
Click here to see answer by Edwin McCravy(2922)

Question 194516: what is sum of all multiples of 6 that are strictly between 3138 and 51804?
please help i my exam is 05/07/09 so it is urgent please help!!!!!!
Click here to see answer by RAY100(1637)

Question 194554: john had a square patio. after expanding the length by 20 ft and the wide by 10 ft the area was 999 ft^2 what was the perimeter of the original patio?
please help me to solve please...... help!!!!!
Click here to see answer by nerdybill(2446)

Question 194553: A wire 20 feet long is to be cut into two pieces. one pierce will be shaped as a square and the other piece will be shaped as an equilateral triangle. express the total area A enclosed by by the piece of wire as a function of the length x of a side of the equilateral triangle. what is the domain of A? for what value of x will the total area A be the smallest?
please i need help. please help me please.....
Click here to see answer by josmiceli(3012)

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