Question

What is the next term of the following sequence?


20, 10, 5, 21/2, ...

Answer 1

1
`(1)/(4)`

Explanation:

Note there is a common ratio between consecutive terms, that is

10 ÷ 20 = 5 ÷ 10 = 2
`(1)/(2)` ÷ 5 =
`(1)/(2)`

Thus to obtain the next term in the sequence multiply the previous term by
`(1)/(2)`

2
`(1)/(2)` ×
`(1)/(2)` = 1
`(1)/(4)`