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

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

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