Question

If the numbers 2p + 1, 3p + 2, 4p + 3 are in A.P., then the common difference is ______.

विकल्प

• p

• 1

• p + 1

• 0

Answer 1

If the numbers 2p + 1, 3p + 2, 4p + 3 are in A.P., then the common difference is p + 1.

Explanation:

In an A.P., consecutive differences are equal, i.e. a₂ – a₁ = a₃ – a₂.

Compute the differences:

(3p + 2) − (2p + 1) = p + 1

And (4p + 3) – (3p + 2) = p + 1

So, the common difference is p + 1.