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Chapter 12: Q 142. (page 1198)

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

a1=-5andr=-3

Short Answer

Expert verified

The first five terms of the geometric sequence are-5,15,-45,135,-405

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)=-5

Common ratio (r)=-3

Second term:

a2=a1r=(-5)(-3)=15

The second term of the sequence is15.

02

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

Third term:

a3=a2r=15(-3)=-45

The third term of the sequence is -45.

Fourth term:

a4=a3r=(-45)脳(-3)=135

The fourth term of the sequence is 135.

Fifth term:

a5=a4r=135脳(-3)=-405

The fifth term of the sequence is-405.

03

Step 3. Write the first five terms of the sequence.

The first five terms of the sequence are:

-5,15,-45,135,-405.

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Most popular questions from this chapter

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