Question

What is a formula for the nth term of the give sequence -3,5,13

Answer 1

Step-by-step explanation:

Given sequence is: - 3, 5, 13...

Here first term a = - 3

common difference d= 5-(-3)=13-5=8

Hence, it is in A. P.

Nth term of an AP is given as:

$t_n = a + (n - 1)d \\ \\ \therefore \: t_n = - 3 + (n - 1) \times 8 \\ \\ \therefore \: t_n = - 3 + 8n - 8 \\ \\ \huge \red{ \boxed{\therefore \: t_n = 8n - 11}}$

Which is the required formula for the given sequence.