Question

Which of the following functions represents an arithmetic sequence?

1. f(n)=3n^2−4
2.f(n)=3n−4
3.f(n)=3^n−4
4.f(n)=3^n−4^n

Answer 1

Option (2)

Explanation:

Explicit formula of an arithmetic sequence is always in the linear form.

A(n) = a + (n - 1)d

Here A(n) = nth term of the sequence

a = first term

n = number of term

d = common difference

Formula doesn't have the terms with the exponent.

Therefore, from the given options, expression that represents an arithmetic sequence will be,

f(n) = 3n - 4

Option (2) will be the correct option.