Question

The (n-3)th term of 5,11,17, .... is

Answer 1

a= 5
d= 6
a(n-3) = 5 + (n-3)x6

Answer 2

Answer:

The $(n-3) ^t^h \ term$ is given by $6n-9$

Step-by-step explanation:

Given: AP 5, 11, 17, 23, …….

To find: term

Solution:

Here, first term$= a = 5$

Common difference$= d = 11 - 5 = 6$

Now,$a_n = a (n - 1)d$

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

$a_n-3=6((n-3)-1)\\a_n-3=6n-18-1\\a_n-3=6n-19$