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Chapter 12: Q 144. (page 1198)

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

a1=64andr=14

Short Answer

Expert verified

The first five terms of the geometric sequence are64,16,4,1,14.

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)=64

Common ratio:

(r)=14

Second term:

a2=a1r=64脳14=16

The second term of the sequence is16.

02

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

Third term:

a3=a2r=16脳14=4

The third term of the sequence is 4.

Fourth term:

a4=a3r=4脳14=1

The fourth term of the sequence is 1.

Fifth term:

a5=a4r=1脳14=14

The fifth term of the sequence is14.

03

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

The first five terms of the sequence are:

64,16,4,1,14.

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