Question

The 4^th term from the end of the A.P. −8, −5, −2, …, 49 is _________.

Options

• 37

• 40

• 1

• 43

Answer 1

The 4^th term from the end of the A.P. −8, −5, −2, …, 49 is 40.

Explanation:

Given a series of AP: −8, −5, −2, ..., 49

New Series: 49, ..., −2, −5, −8

In the new series of AP, first term, a = 49

Common difference (d) = −8 − (−5)

= −8 + 5

= −3

a₄ = a + 3d

= 49 + 3(−3)

= 49 − 9

= 40