Question

Which among the following is an example of an infinite A.P?

• A. The set of even numbers upto 10
• B. The set of even numbers
• C. The set of even numbers upto 100
• D. The set of odd numbers upto 100

Answer 1

The correct option is B The set of even numbers

An arithmetic progression with finite number of terms is called a finite AP and that with infinite number of terms, an infinite AP.

The set of even numbers upto 10 is 2,4,6,8. $\Rightarrow$ Finite AP.

The set of even numbers is 2,4,6,8,.......$\Rightarrow$ Infinite AP.

The set of even numbers upto 100 is 2,4,6,8,10,......,96,98. $\Rightarrow$ Finite AP.

The set of odd numbers upto 100 is 1,3,5,7,.......,97,99. $\Rightarrow$ Finite AP.

Hence from the given option , the set of even numbers is an infinite A.P