Question

I have a problem with Sequences and im trying to figure it out any help

Answer 1

see explanation

Explanation:

The given formula is a recursive formula which allows a term in the sequence to be found using the previous term.

Given

`A_(n)` =
`A_(n-1)` + 3 with A₁ = 2, then

A₂ = A₁ + 3 = 2 + 3 = 5

A₃ = A₂ + 3 = 5 + 3 = 8

A₄ = A₃ + 3 = 8 + 3 = 11

A₅ = A₄ + 3 = 11 + 3 = 14

The first 5 terms in the sequence are 2, 5, 8, 11, 14