Question

check whether 307 is a term of an ap 4,7,10....

Answer 1

here a=4
common difference=7-4=3
nth term of an AP is given by a+(n-1)d
Let 307 be the nth term
then
307=4+(n-1)3
307-4=(n-1)3
303=(n-1)3
303/3=n-1
101=n-1
therefore n=102

therefore 307 is the 102th term of the given AP

NOTE:If you get n as a fraction then the number will not be in AP