Question

what is the common difference of an ap if its nth term is 7 n-1

Answer 1

common difference is 7

Answer 2

Hey there!

We are give that,
$a_n$ = 7n-1

For n=1
$a_n$ = 7(1)-1 = 7-1 = 6

For n=2
$a_n$ = 7(2)-1 = 14- 1 = 13

For n=3
$a_n$ = 7(3)-1 = 21-1 = 20

Therefore,
A.P. = 6, 13, 20............

Common difference = Second term - First term

                                = 13 - 6
 
                                = 7

Hence,
Common difference (d) = 7

HOPE IT HELPS ^_^