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Chapter 12: Q 19. (page 824)

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

a1=5,r=-1

Short Answer

Expert verified

The nthterm is an=5脳(-1)n-1and the fifth term isa5=5.

Step by step solution

01

Step 1. Given information.  

We have a1=5and r=-1

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

02

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

Substitute a1=5,r=-1and n=5

an=5脳(-1)n-1

and

role="math" localid="1646984429223" a5=5脳-15-1a5=5脳(-1)4a5=5

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