Question

The n^th term of an A.P. is given by a_n = 3 + 4n. The common difference is ______.

Options

• 7

• 3

• 4

• 1

Answer 1

The n^th term of an A.P. is given by a_n = 3 + 4n. The common difference is 4.

Explanation:-

We have an = 3 + 4n

∴ a_n+1 = 3 + 4(n + 1) = 7 + 4n
∴ d = a_n+1 - a_n
= (7 + 4n) - (3 + 4n)
= 7 - 3
= 4