Question

The first five terms of a sequence are 20, 26, 32, 38, 44...Determine the formula that gives the nth term of this sequence.

Answer 1

A(n)=a (1)+(n-1)d
A (n) = the number that goes in the sequence for the nth term
A (1)= first number in sequence hence the (1)
N =the nth term you are given
D= what the numbers change by

This sequence increases by +6
A (n)=20+(n-1)6

Answer 2

14+6n. If you plug in n=1, you get 14+6(1) and that is equal to 20, the first term. Second term, 14+6(2)=26 and etc