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Chapter 12: Q 141. (page 1198)

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

a1=-4andr=-2

Short Answer

Expert verified

The first five terms of the geometric sequence are-4,8,-16,32,-64.

Step by step solution

01

Step 1. Write the given information and find the second term with the help of the first term and common ratio.

The given information is:

First term (a1)=-4

Common ratio (r)=-2

Second term:

a2=a1r=(-4)(-2)=8

The second term of the sequence is8.

02

Step 2. Find the next three terms in the same manner

Third term:

a3=a2r=(8)(-2)=-16

The third term of the sequence is -16.

Fourth term:

a4=a3r=(-16)(-2)=32

The fourth term of the sequence is 32

Fifth term:

a5=a4r=(32)(-2)=-64

The fifth term of the sequence is -64.

03

Step 3. Write the first five terms of the sequence

The first five terms of the sequence are:

-4,8,-16,32,-64

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