Question

Find the first five terms of the sequence described:
a sub 1 = 3
a sub n+1 = a sub n + 5

Answer 1

From the given recursive definition,

`a_1 = 3`

`a_2 = a_1 + 5 = 3 + 5 = 8`

`a_3 = a_2 + 5 = 8 + 5 = 13`

`a_4 = a_3 + 5 = 13 + 5 = 18`

`a_5 = a_4 + 5 = 18 + 5 = 23`