Question

Write a recursive formula for the sequence
1/4,1/2,3/4

Answer 1

`a_n = a_ {n - 1} + (1)/(2) , \: a_1 = (1)/(4)`

Explanation:

The given sequence is:

`(1)/(4), (1)/(2), (3)/(4)`

The first term of this sequence is

`a_1 = (1)/(4)`

There is a common difference of d=½

The recursive formula is:

`a_n = a_ {n - 1} + d`

We substitute the common difference to get:

`a_n = a_ {n - 1} + (1)/(2)`