Question

The list of all even numbers is a/an ___arithmetic progression and the list of first 100 odd numbers is a/an ___ arithmetic progression.

• A. infinite, infinite
• B. infinite, finite
• C. finite, infinite
• D. finite, finite

Answer 1

The correct option is B

infinite, finite

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

The list of all even numbers is an infinite arithmetic progression since the terms (2,4,6,8....) are in A.P. But the number of terms in this list is not finite, as it includes every even number possible.

The list of first 100 odd numbers is finite arithmetic progression since the terms (1,3,5,7,....199) are in A.P, and the number of terms in this list is finite, as it includes only the first 100 odd numbers