Question

11, 8, 5, 2, . . . In this A.P. which term is number -151? Solve the word problem

Answer 1

Answer:

55

Step-by-step explanation:

As per the question,

Given series 11, 8, 5, 2, . . . are in A.P

That is,

First term = a = 11

Common difference = d = 8 - 11 = -3

Formula used to find nth term is given as:

$T_{n}=a+(n-1)d$

Now put the values given, we get,

$T_{n}=11+(n-1)(-3)$

Now nth term is given = -151

Therefore,

$-151=11+(n-1)(-3)$

(n-1) = 54

n= 55

Hence, the value if 55th term is -151.

Therefore, required answer is = 55