126k views
5 votes
Find the 8th term of the sequence

100, 20, 4, 4/5
__
1/4096

25/16394

25/256

4/3125

2 Answers

3 votes

Answer:


d. \: (4)/(3125)

Explanation:

HOPE IT HELPS MUCH UNTO YOU

User Moritz
by
3.4k points
5 votes

9514 1404 393

Answer:

(d) 4/3125

Explanation:

The first term is 100 and the common ratio is 20/100 = 1/5. The explicit formula for terms of a geometric sequence is ...

an = a1·r^(n-1)

an = 100·(1/5)^(n-1)

Then the 8th term is ...

a8 = 100 ·(1/5)^(8-1) = 100·5^(-7) = 4/3125

User Daniel Little
by
3.5k points