Question

The n th term of an AP Is 6n+2 Find Its Common Diffetence

Answer 1

Given, $n^{th}$ term of AP = 6n + 2

1st term $a_1$= 6+2 = 8
2nd term $a_2$ = 6*2 + 2 = 14
3rd term $a_3$ = 6*3 + 2 = 20
4th term $a_4$ = 6* 4 +2 = 26

common difference = $a_4$ - $a_3$ = $a_3$ - $a_2$ = $a_2$ - $a_1$ = 26 - 20 = 20 - 14 = 14- 8 = 6

Therefore the common difference of the AP is 6.