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

Solution:

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

Here, aₙ is the n^th 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.

aₙ = a + (n - 1)d

a + (n - 1)d = - 150

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

11 - 3n + 3 = -150

-3n = -164

n = 164/3

n is not a positive integer.

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

☛ Check: NCERT Solutions for Class 10 Maths Chapter 5

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

Summary:

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

☛ Related Questions:

• Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.
• An AP consists of 50 terms of which the 3rd term is 12 and the last term is 106. Find the 29th term.
• If the 3rd and the 9th terms of an AP are 4 and -8, respectively, which term of this AP is zero.
• 17th term of an AP exceeds its 10th term by 7. Find the common difference.