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

Question

Justify whether it is true to say that the following are the nth terms of an AP. 2n – 3

Philoid · Accepted Answer

Put n = 1, 2, 3, 4

We get

a₁ = 2(1) - 3 = - 1

a₂ = 2(2) - 3 = 1

a₃ = 2(3) - 3 = 3

a₄ = 2(4) - 3 = 5

List of AP is - 1, 1, 3, 5 . . . .

a₂ - a₁ = 1 - (- 1) = 2

a₃ - a₂ = 3 - 1 = 2

a₄ - a₃ = 5 - 3 = 2

which form an AP, with common difference , d = 2