Question

Find the 10th term from the end of the A.P. 8, 10, 12, ..., 126.

Answer 1

Answer:

The 10th term from the end of the A.P is 108.

Step-by-step explanation:

Given :  

A.P. 8, 10, 12, ..., 126.

 

Let 'l' be the last term of an A.P

Common Difference , d = 10  - 8  = 2

Last term , l = 126

nth term from the end = l - (n - 1)d

10th term from the end = l - (n - 1)d

10th term from the end = 126  - (10 - 1) × 2

10th term from the end = 126  - 9 × 2

10th term from the end = 126  - 18

10th term from the end = 108

Hence, the 10th term from the end of the A.P is 108.

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Answer 2

Answer :

108

Step-by-step explanation:

A.P. : 8, 10, 12, ..........., 126.

First term, a = 8

Common difference, d = a₂ - a

= 10 - 8

= 2

Last term, l = 126

As we know that,

nᵗʰ term from the last = l - (n - 1)d

10ᵗʰ term from the last = 126 - (10 - 1)(2)

= 126 - (9)(2)

= 126 - 18

= 108