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Chapter 12: Q 29. (page 824)

Find the indicated term of each geometric sequence.

8thterm of0.4,0.04,0.004,.....

Short Answer

Expert verified

The8thterm is0.00000004.

Step by step solution

01

Step 1. Given information.   

We have, 0.4,0.04,0.004,....

a1=0.4,a2=0.04,a3=0.004

The common ratio is

a2a1=0.040.4=0.1a3a2=0.0040.04=0.1

The common ratio r=0.1

02

To find the 8thterm.

The nthterm of a geometric sequence is determined by formula an=a1rn-1

Substitute a1=0.4,r=0.1and n=8.

role="math" localid="1647020055931" a8=0.40.18-1a8=(0.4)(0.1)7a8=0.00000004

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