Question

nth term of 4+9+14 and so on is

Answer 1

a= 4
d= 9-4=14-9= 5
an = a + (n-1)d
= 4 + (n-1)5
= 4 + (5n -5) = 5n-1
STEPS BELOW ARE JUST FOR CONFIRMATION ITS NOT NECESSARY TO WRITE THEM I DID THEM FOR YOUR BETTER UNDERSTANDING
5n-1 is the correct answer because
when place the value of any nth term
for example n=2
5(2)-1 = 9 hence its satisfies the equation therefore it is the correct answer
THANK YOU