Question

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

Answer 1

Answer:

$a_n = a_ {n - 1} + \frac{1}{2} , \: a_1 = \frac{1}{4}$

Step-by-step explanation:

The given sequence is:

$\frac{1}{4}, \frac{1}{2}, \frac{3}{4}$

The first term of this sequence is

$a_1 = \frac{1}{4}$

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:

$a_n = a_ {n - 1} + \frac{1}{2}$