NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 6

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 6

Question:

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

Given:

Arithmetic Progression (AP): 11, 8, 5, 2, ...

To Find:

Whether –150 is a term of the given AP.

Formula:

The nth term of an AP is given by: an = a + (n-1)d, where 

a is the first term, 

d is the common difference, and 

n is the number of terms.

Solution:

First term (a) = 11

Common difference (d) = 8 - 11 = -3

Let –150 be the nth term of the AP. Then,

an = a + (n-1)d

–150 = 11 + (n-1)(-3)

–150 = 11 -3n + 3

–150 = 14 -3n

3n = 14 + 150

3n = 164

n = 164 3

n = 54.666...

Since n is not an integer, –150 is not a term of the given AP.

Result:

–150 is not a term of the AP.

© Kaliyuga Ekalavya. All rights reserved.

Comments

Post a Comment