Question

Find the next three terms of the following sequence:
16,8,4, 2, 1

Answer 1

`(1)/(2)`,
`(1)/(4)`,
`(1)/(8)`

Explanation:

There is a common ratio between consecutive terms in the sequence, that is

r = 8 ÷ 16 = 4 ÷ 8 = 2 ÷ 4 = 1 ÷ 2 =
`(1)/(2)`

Thus any term can be found by multiplying the previous term by
`(1)/(2)`

a₆ =
`(1)/(2)` × a₅ =
`(1)/(2)` × 1 =
`(1)/(2)`

a₇ =
`(1)/(2)` × a₆ =
`(1)/(2)` ×
`(1)/(2)` =
`(1)/(4)`

a₈ =
`(1)/(2)` × a₇ =
`(1)/(2)` ×
`(1)/(4)` =
`(1)/(8)`

Answer 2

0.5, 0.25, 0.125

Explanation:

its simply divided by 2