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Chapter 12: Q. 291 (page 1219)

In the following exercises, find the sum of the first fifteen terms of each geometric sequence.

鈭�4,8,鈭�16,32,鈭�64,128...

Short Answer

Expert verified

The sum of first fifteen terms of geometric sequence is-43692.

Step by step solution

01

Step 1. Given information

The given G.P. is鈭�4,8,鈭�16,32,鈭�64,128...

02

Step 2. The sum of first n terms of the geometric sequence.

Sn=a1(1-rn)1-r

03

Step 3. The sum of the first fifteen terms of geometric sequence. 

a1=-4r=8-4r=-2n=15

Now sum is

S15=-4(1-(-2)15)1-(-2)S15=-43692

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Most popular questions from this chapter

Find the coefficient of the x4 term of (x+2)7.

In the following exercises, expand each binomial using Pascal's Triangle.

(x-y)5

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

a1=64andr=14

Determine if each sequence is geometric. If so indicate the common ratio.

鈸� 鈭�150,鈭�30,鈭�15,鈭�5,-52,0,鈥�

鈸� 5,10,20,40,80,160,鈥�

鈸�8,4,2,1,12,14,鈥�

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

a1=4andr=3
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