Question

Justify whether it is true to say that the following are the n^th terms of an AP.

2n – 3

पर्याय

• True

• False

Answer 1

This statement is True.

Explanation:

Here,

a_n = 2n – 3

Put n = 1,

a₁ = 2(1) – 3

= –1

Put n = 2,

a₂ = 2(2) – 3

= 1

Put n = 3,

a₃ = 2(3) – 3

= 3

Put n = 4,

a₄ = 2(4) – 3

= 5

List of number becomes –1, 1, 3, 5....

Here, a₂ – a₁ = 1 – (–1) = 1 + 1 = 2

a₃ – a₂ = 3 – 1 = 2

a₄ – a₃ = 5 – 3 = 2

∵ a₂ – a₁ = a₃ – a₂ = a₄ – a₃ = ...........

Hence, 2n – 3 is the n^th term of an AP.