Question

check whether -150 is a term of the AP: 11,8,5,2....​

Answer 1

$\huge\mathfrak\red{answer}$

D=−3

a+(n−1)d=−151$$

11+(n−1)−3=−151

11−3n+3=−151

−3n=−165

n=55

55thterm

Answer 2

Step-by-step explanation:

let -150 be a term in the given A.P

a = 11, d = 8 - 11 => -3 An = -150

An = a + (n-1)d

=> -150 = 11 + (n-1) × -3

=> -150 = 11 - 3n + 3

=> 3n = 150 + 14

=> 3n = 164

=> n = 164/3 => 54.66666....

as 'n' is not a "whole number", -150 is "not a term" in the given sequence