# Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .

**Solution:**

The formula for n^{th} term of an AP is a_{n} = a + (n - 1) d

Here, a_{n }is the nth term, a is the first term, d is the common difference and n is the number of terms.

11, 8, 5, 2 are in AP

First term a = 11

Common difference, d = 8 - 11 = - 3

Let -150 be a term of the given AP.

a_{n} = a + (n - 1)d

a + (n - 1)d = - 150

11 + (n - 1)(- 3) = - 150

11 - 3n + 3 = -150

n - 1 = 161/3

n = 164/3

Answer: – 150 is not a term of the AP : 11, 8, 5, 2 . . . because n should be a positive integer.

**Video Solution:**

## Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .

### NCERT Solutions Class 10 Maths Chapter 5 Exercise 5.2 Question 6 - Chapter 5 Exercise 5.2 Question 6:

Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .

– 150 is not a term of the AP : 11, 8, 5, 2 . . .