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

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

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