Question

Write down the nth term of this sequence 2,7,12,17,22

Answer 1

Adds 5 each times

an=a1+d(n-1)
a1=first term
d=common difference
n=which term

first term is 2
common diffference is 5 (7-2=5)

so
an=2+5(n-1)

the nth term is 2+5(n-1) or 5n-3

Answer 2

There is a pattern. Each number is added by 5. So take 22 and add 5 to get 27. Just repeat until you find your answer, which would be 42.