Question

If a1 = 2 and An = An-1+5 then find the value of a5

Answer 1

`a_5 = 22`

Explanation:

We given the recursive sequence where
`a_1 = 2` and
`a_n = a_(n-1) + 5`

To find the value of
`a_5`, we can use the recursive formula:

`a_1 = 2 \\\\ a_2 = a_1 + 5 = 2 + 5 = 7 \\\\ a_3 = a_2 + 5 = 7 + 5 = 12 \\\\ a_4 = a_3 + 5 = 12 + 5 = 17 \\\\ a_5 = a_4 + 5 = 17 + 5 = 22`

So,
`a_5 = 22`.