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24 votes
24 votes
List the first five terms of each sequence, and identify them as arithmetic or geometric.

1. A(n + 1) = 1/4 times A(n) for n≥1 and A(1) = 8

User RunOrVeith
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1 Answer

12 votes
12 votes

Answer:

8, 2, 1/2, 1/8, 1/32 - geometric sequence

Explanation:


A_(n+1)=1/4A_(n) \\n\geq 1\\A_(1)=8\\A_(2)=1/4A_(1)=1/4*8=2\\A_(3)=1`/4A_(2)=1/4*2=1/2\\A_(4)=1`/4A_(3)=1/4*1/2=1/8\\A_(5)=1`/4A_(4)=1/4*1/8=1/32\\8, 2, 1/2, 1/8, 1/32 - geometric sequence \\q=1/4

User FractalBob
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