What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2?

Question

asked May 21, 2020 204k views

2 Answers

Vishal Arora · Answer 1 · 2020-05-27T09:30:36+0000

Answer:

(5)/(8)

Explanation:

The n th term of a geometric sequence is

a_(n) = a₁
(r)^(n-1)

where a₁ is the first term and r the common ratio

here a₁ = 10 and r =
(1)/(2) , thus

a_(5) = 10 ×
(1/2)^(4) = 10 ×
(1)/(16) =
(5)/(8)