Question

Find the nth term of the AP 5,11,17,23,... .

Answer 1

nth term = a + (n-1)d
=5+(n-1)6

Answer 2

Answer:

The nth term of the series is $T_n=6n-1$

Step-by-step explanation:

Given : The series is 5,11,17,23,...

To find : The nth term of the AP 5,11,17,23,...

Solution : In the Arithmetic progression series

The nth term of the series is

$T_n=a_1+(n-1)d$

where, $a_1$ is the first term of the series , d is the common difference and n is the number of term.

Series is 5,11,17,23,...

where $a_1=5$ , d=11-5=17-11...= 6 and n=n .

$T_n=a_1+(n-1)d$

$T_n=5+(n-1)6$

$T_n=6n-1$

Therefore, The nth term of the series is $T_n=6n-1$