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 200754: state the next number in the sequence 1,1,1,2,2,3,3,4,5,5,8,6,13,7,21,8,34,9,_
Click here to see answer by jim_thompson5910(13794)

Question 200896:
4,2,8,4,12,6,?
Click here to see answer by rfer(2688)

Question 201375: The middlepoints of the side of a triangle are joined forming a second triangle.Again a third triangle is formed by joining the middles points of this second triangle and this process is repeated infinitely.If the perimeter and area of the outer triangle are P and A respectively,What will the sum of perimeters of the triangles thus formed?
Click here to see answer by solver91311(5072)

Question 201610: which is the 9th term of the sequence which has a first term of 1 and has a common ratio of 1.5
Click here to see answer by RAY100(1637)

Question 201609: which is the 9th term of the sequence which has a first term of 1 and has a common ratio of 1.5
Click here to see answer by RAY100(1637)

Question 201608: find the 6th term of the sequence which has a first term of 5 and has a common ratio of 4.2
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Question 201734: use the factor theorem to determine whether (x-3) is a factor of f(x)=X^4+12x^3+6x+27.
Click here to see answer by stanbon(26297)

Question 201907: Please Help:
Find the sum of the first five terms of the geometric sequence.
a = 5, r = 4
A) 1715
B) 1704
C) 1701
D) 1705

Click here to see answer by nerdybill(2448)

Question 201907: Please Help:
Find the sum of the first five terms of the geometric sequence.
a = 5, r = 4
A) 1715
B) 1704
C) 1701
D) 1705

Click here to see answer by jim_thompson5910(13794)

Question 201924: Please Help:
Find the indicated term of the geometric sequence.
a = -3, r = -4; Find the 7th term.
A) 3072
B) 196,608
C) -4096
D) -12,288

Click here to see answer by jim_thompson5910(13794)

Question 201898: Please Help:
Find the sum of the first five terms of the geometric sequence.
a = 1, r = 2
A) 31/5
B) 91/3
C) 31
D) 91/15

Click here to see answer by jim_thompson5910(13794)

Question 201897: Please Help:
Find the sum of the first five terms of the geometric sequence.
a = 1, r = 2
A) 31/5
B) 91/3
C) 31
D) 91/15

Click here to see answer by jim_thompson5910(13794)

Question 201893: Please Help:
Find the sum of the first five terms of the geometric sequence.
a = 1, r = -3
A) 121
B) 61
C) -121
D) -61

Click here to see answer by jim_thompson5910(13794)

Question 202544: Can ANYONE help me with these two problems? Please!

Type the general term for the following sequences:

#1) 3, 9, 27, 81, 243, . . .
__________

#2) 3/4, 6/5, 9/6, 12/7, 15/8...
__________

Thanks,
Sarah
Click here to see answer by jim_thompson5910(13794)

Question 202838: Algebra 2 worksheet on Arithmetic sequence
The third term of an arithmetic sequence is 9 and the seventh term is 31. Find the sum of the first twenty-two terms.

How many terms of the arithmetic sequence 2,4,6,8, ... add up to 60,762?

Click here to see answer by Edwin McCravy(2922)

Question 203033This question is from textbook Pure Mathematics 1
: Hi i would like help on geometric Sequences.
The Question says Find the common ratio of a geometric sequence which has a first term of 5 and a sum to infinity of 6.
The sum to infinity equation is S"infinity"=(a)/(1-r)
so i changed the a to a 5 and made it equal to 6 so the equation was 6=(5)/(1-r) the answer is 1/6 but i keep getting 5/6 can you please help
Thanx
PederThis question is from textbook Pure Mathematics 1

Click here to see answer by vleith(1977)

Question 203130: What is the next sequence of numbers; given: 4,18,200,20402
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Question 203569: Can someone please help me with this problem:
Find the indicated term of the geometric
sequence.
, ; Find the 8th term.
Click here to see answer by Edwin McCravy(2922)

Question 203582: find a quadratic equation with roots (4+i) and (4-i)
Click here to see answer by stanbon(26297)

Question 203557: A sequence starts with the term 2222. Each succeeding term is found by adding 1010 to the previous term. What is the sum of the sixth and seventh terms?
Click here to see answer by scott8148(3385)

Question 203583: I need help with this problem, please help me:
i need to find the positive root, negative roots, and rational roots.
Given x^3-4x^2+2x+1=0

i got for the positive root=2
negative root=1
and im having trouble finding the rational roots.
thank you in advance!

Click here to see answer by stanbon(26297)

Question 203816: how many integers between 26 and 415 are multiples of 9?
please help. thank you :)
Click here to see answer by RAY100(1637)

Question 204302: Is the following sequence arithmetic or geometric?
1/2, 1/10, 1/50, 1/250, 1/1250...
Find the common difference or ratio depending on your decision to the first part of the question.

Click here to see answer by RAY100(1637)

Question 204345: Find the sum of the infinite series:
∞
∑ (3/2^i+4/5^i)
i=1
So far I know that it goes: 23/10, 91/100, 407/1000, etc., in multiples of ten for the denominator, but I am confused as to what the top sequence is and if it's supposed to go to infinity, and then how would I find the sum?
Thank you in advance
Click here to see answer by jim_thompson5910(13794)

Question 204545: Find the first five terms of the sequences with the nth term given as follows:

Click here to see answer by alicealc(98)

Question 204792This question is from textbook
: Find the first 5 terms
an=1/n^2This question is from textbook

Click here to see answer by Earlsdon(4900)

Question 204688: how do i turn 1.321321 and 0.7777 into a common fraction?
Click here to see answer by Earlsdon(4900)

Question 204849: If a call costs .99 the first min and .25 each additional min what is the equation for finding the cost of a call? I put y = .99 + .25x, but that was the wrong answer the correct answer is y = .74 + .25x. What equation do you use to get this answer?
Click here to see answer by rfer(2688)

Question 204863: i need help on how to solve geometric series. I have a problem that i simply cannot figure out and i would appreciate your help. My problem is: if A to the first= -54, and r= 2/3 then wich answer is correct?
A. -54, 36, -24, 16
B. -54, -36, -18, -9
C. -54, -36, -24, -16
D. -54, -53 1/3, -52 2/3, -52
Please show me how to solve this problem and give me the solution. thank you
Click here to see answer by Alan3354(6097)

Question 204901: I am not understanding sequences and series? Can someone help me understand this better and show the steps. Solve question given that a3 = 3 then a6= -81 Find r? Find a1. Thank you

Click here to see answer by stanbon(26297)

Question 204934: what is the next number in sequence to 2n+1?
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Question 204928: If you were given the third and the twenty-fifth terms of an arithmetic sequence how would you find the first term???????
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Question 204927: Given A to the nth= n-1/n
A. The first four terms are 0, 1/2, 2/3, 3/4 and the sequence is arithmetic
B. The first four terms of the sequence are 0, 1/2, 2/3, 3/4 and the sequence is geometric
C. The first four terms of the sequence are 0, 1/2, 2/3, 3/4 and the sequence is neither arithmetic nor geometric
D. The first four terms of the sequence are 1, 1/2, 2/3, 3/4 and the sequence is arithmetic
Click here to see answer by stanbon(26297)

Question 204926: The sequence 1, 1, 1, 1,...is?
A. arithmetic only
B. geometric only
C. bot arithmetic and geometric
D. neither arithmetic or geometric
Click here to see answer by stanbon(26297)

Question 205090: What is the next terms in the sequence: 3/4, 1, 15/14, 21/19...?
Click here to see answer by stanbon(26297)

Question 205220: find the sum of each series
-60 + (-59) + (-58) + . . . . + 87 + 88 + 89 + 90
Click here to see answer by stanbon(26297)

Question 205408: -9,3,-1,1/3 what is the next term
Click here to see answer by Alan3354(6097)

Question 205410: Kelly currently has 2 credits towards a free meal at her favorite restaurant. To receive a free meal, she must accumulate 20 credits. If she gains 3 credits per week, will she have enough credits to get a free meal on her birthday in 5 weeks?
Click here to see answer by rfer(2688)

Question 205934: I'm confused on how to solve this.
I know i can add it in a calculator bat it would be so long.
I don't know the formula.
Pls. help.
Find the sum: 1 + 2 + 3 ...+ 99 + 100.
Click here to see answer by jim_thompson5910(13794)

Question 205965: What is the 2001st number in the sequence: 2, 5, 8, 11,...?
Click here to see answer by dyakobovitch(40)

Question 205965: What is the 2001st number in the sequence: 2, 5, 8, 11,...?
Click here to see answer by Alan3354(6097)

Question 206234: What is the next number in the sequence 2, 1, 3, 4, 7, 11, …?
Click here to see answer by Targetweek(62)

Question 206236: The sum of the first 100 terms of the sequence 1, -2, 3, 4, -5, 6, 7, -8, 9, 10… is 1750. The sum of the first 100 terms of the sequence 1, 2, -3, 4, 5, -6, 7, 8, -9, 10… is equal to
(A) 1684 (B) 1717 (C) 1783 (D) 1816 (E) None of these
Click here to see answer by Edwin McCravy(2922)

Question 206237: We define the sequence a recursively by setting a_1 = 10 and a_(i+1) = a_i + 4 for all i>= 1. what is the first five terms of this sequence.
Click here to see answer by Edwin McCravy(2922)

Question 206543: I'm trying to complete a number sequence 7.9, 6.8, 5.7, 4.6 were the numbers given after 4.6 I put 3.5,2.4, 1.3 now i have 2 more spaces would the next answer be .60?
Click here to see answer by Alan3354(6097)

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