Answer:
[tex]a_n = a_ {n - 1} + \frac{1}{2} , \: a_1 = \frac{1}{4} [/tex]
Step-by-step explanation:
The given sequence is:
[tex] \frac{1}{4}, \frac{1}{2}, \frac{3}{4} [/tex]
The first term of this sequence is
[tex]a_1 = \frac{1}{4} [/tex]
There is a common difference of d=½
The recursive formula is:
[tex]a_n = a_ {n - 1} + d[/tex]
We substitute the common difference to get:
[tex]a_n = a_ {n - 1} + \frac{1}{2} [/tex]
