The first term of a geometric sequence is 6, and the third term is 25/6. find the fifth term.

Question

Mathematics

Ladybug

25 December, 04:21

The first term of a geometric sequence is 6, and the third term is 25/6. find the fifth term.

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Reginald Gardner · Answer 1

Geo : a (n) = a (1) r^ (n-1)

first term = 6 = a (1)

3rd term.

a (3) = 25/6

a (1) r^ (3-1) = 25/6

6r^2 = 25/6

r = 5/6

so a (n) = 6 (5/6) ^ (n-1))

a (5) = 6 (5/6) ^ (5-1)) = 5^4/6^3