7 d = -}, 2 n = 15 %3D 3 3 ||

Q: The sum of the first n terms of a geometric sequence is 341. If aj = and a4 , what is the value of…

A: 1. Geometric progression (GP) is a type of sequence where each succeeding term is produced by…

Q: Find S,, the sum of first 15 terms of the arithmetic sequence: , 0, – - 1, .... ...

A:

Q: Find the n" term a, of a sequence whose first four terms are given. 9 10 11 -- -- 4' 8' 12' 16

A: Given:-84,-98,-1012,-1116,....

Q: Find the sum of the first eight terms of the arithmetic sequence in which the fourth term is 9 and…

A: a4=9  &  d=-5 Now consider, a4=9⇒a+3d=9⇒a+3-5=9⇒a=24

Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 6 and common…

A:

Q: The first three terms of a sequence are given. Round to the nearest thousandt. necessary). 7, 10,…

A: Given that series. And this series is in A. P. So use formula of nth term of A. P.   Find its 33rd…

Q: Find the first 6 terms of the sequence with first term8 and nth term an = an-1 + 3.

A: Arithmetic Sequence :                                          An arithmetic sequence is a…

Q: Find the sum of the first 30 terms of the sequence. 3, 9, 15, 21, . S30

A:

Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…

A: First term= a= 3 Common ratio= r= 6/3= 2

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r = 2.

A:

Q: Find the sum of the first 14 terms of the geometric sequence: - 3/2, 3, -6, 12, . . . .

A: The given geometric sequence is -32,3,-6,12,.. here the first term of the sequence is -32. find…

Q: Find the sum of the first eight terms of the sequence 1/8,−1/4 ,1/2 ,.... please show working

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Q: What are the next three terms of the geometric sequence 3, 12, 48, . . . ?

A:

Q: What is the 5th term of the geometric sequence 3/20, 3/2, 15, …? Show your solution.

A:

Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,

A:

Q: Find the 5th term of the geometric sequence: – 5, – 30, – 180, ... - - Round to 1 decimal place if…

A:

Q: Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which…

A: Topic:- sum of GP

Q: Find the sum of the first 8 terms of the geometric sequence 2, 6, 18, 54, ..

A: From the given statement, the geometric sequence is 2, 6, 18, 54, …Obtain the sum of the first 8…

Q: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...

A:

Q: What is the sum of the first 50 terms of the arithmetic sequence whose first term is a1=8, with…

A: We will find out the required value.

Q: Find the next two terms in th. sequence. 8, 5, 2, -1, -4, [ ? ].[ ]

A: Given sequence is : 8, 5, 2, -1, -4 To find the next two terms in this sequence.

Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

A:

Q: The sum of three terms of a geometric sequence is -3, and the second is 6 more than tl first Find…

A: The solution is given below.

Q: What is the 8th term of the geometric sequence 48, 24, 12, 6, 3, ...

A:

Q: Find the sum of the 3rd and the 7th term of the sequence: 1, 4, 13, 40, 121, ...

A: We have to find the sum of 3rd term and 7th term of the given sequence.

Q: Find the eighth term of the geometric sequence whose second and fourth terms are 0.2 and 5.

A:

Q: Find the first four terms of the arithmetic sequence whose first term is 6 and whose common…

A:

Q: Find the first four terms of the arithmetic sequence whose first term is 9 and whose common…

A:

Q: Find the sum of the first 23 terms of the arithmetic sequence 4m – 3, –10, .

A: For the terms to be in an AP , the first term should be 4 and not 4m which is a mistake.

Q: Find the sum of the first 18 terms of the geometric sequence: 2, -8, 32, -128, . . . .

A: The given geometric sequence: 2, -8, 32, -128 first term (a) = 2 common ratio r=ara=-82=-4 number of…

Q: Find the 8th term of the geometric sequence 2, –10, 50, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: State the first five terms of the arithmetic sequence tn=5(n)

A: The given nth term of the arithmetic sequence is tn=5(n)

Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…

A: Given: a1=320r=-k2n=10 Also, the sum of  first n terms of the geometric sequence for negative value,…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: The first term of an arithmetic sequence is equal to 200 and the common difference is equal to -10.…

A:

Q: Find the sum of the first 11 terms of the geometric sequence 4, -4, 4, .. 4

A:

Q: Find the sum of the first 8 terms of the geometric sequence. 139 9 27 27 81 - - - + 2 2 2 O A. 2…

A:

Q: Find the first 3 terms of the geometric sequence with a, = -160 and a, = 1,280. а. 5,-10, 20 с. 5,…

A: Given data: a6=-160 a9=1280 Solution: The above terms given in the geometric sequence. We know the…

Q: Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54, . . .

A: Consider the following geometric sequence: 2, 6, 18, 54,... First term of the sequence: a=2 Common…

Q: Find the sum of the first 50 terms of the sequence: -2, 0, 2, 4, . . . .

A: -2, 0, 2, 4, ...... It is an arithmetic sequence with, First term=a=-2Common difference=d=2

Q: Find the sum of the first 8 terms of the sequence −1, −7, −49, −343, . . . (geometric)

A:

Q: Fi

A: Explanation of the solution is given below...

Q: Find the first four terms of the arithmetic sequence whose first term is -6 and whose common…

A: We have to find first four terms of the arithmetic sequence whose first term is -6 and common…

Q: Determine the sum of the first five terms of the geometric sequence where a = 3 and r=2. ... The sum…

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a…

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r= -1. The sum…

A:

Q: Find the sum of the first 8 terms of the sequence. Show all work for full credit. 1, -3, -7, -11,…

A: It is ap.  Use formula of sum of n term of ap.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.