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Chapter 12: Q 20. (page 824)

Find the fifth term and the nth term of the geometric sequence whose initial term a1and common ratio rare given.

a1=6,r=-2

Short Answer

Expert verified

The nthterm is localid="1646985535068" 6(-1)n-1and the fifth term islocalid="1646985543934" a5=6.

Step by step solution

01

Step 1. Given information. 

We have, a1=6and r=-2

Thenthterm of a geometric sequence is determined by formulaan=a1rn-1

02

Step 2. To find the fifth term and the nthterm.  

Substitute a1=6,r=-2and n=5

role="math" localid="1646985361633" an=6(-1)n-1

and

role="math" localid="1646985464675" a5=6(-1)5-1a5=6(-1)4a5=6

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