Question

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

Answer 1

Answer:5/8

Explanation:

Answer 2

`(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)`