Question

Please answer and Explain

Answer 1

`T_n = T_(n-1) + 11`

`T_1 = -8`

Explanation:

Given

`-8, 3, 14, 25,...`

Required

The recursive function

Let the nth term of the sequence be
`T_n`

The given sequence is an arithmetic sequence that has the following common difference (d)

`d = T_2 - T_1`

`d = 3--8`

`d =11`

So, the nth term is:

`T_n = T_(n-1) + d`

`T_n = T_(n-1) + 11`

Hence, the recursion is:

`T_n = T_(n-1) + 11` where
`T_1 = -8`