Question

Which of the following is an arithmetic progression?

A) n²+n+1
B) n³+2n+3

C) n+1

D) 2n+3

Answer 1

Among the given options, D) 2n+3 represents an arithmetic progression, with a constant difference of 2 between consecutive terms.

Step-by-step explanation:

An arithmetic progression is a sequence of numbers in which the difference between consecutive terms is constant. Among the given options, the arithmetic progression is represented by choice D) 2n+3.

To determine whether a sequence is an arithmetic progression, we need to check if there is a constant difference between any two consecutive terms. In the case of 2n+3, the difference between any two terms is always 2.

For example, if we take n=1, the terms of the sequence would be 5, and 6 for n=2, and so on.