Question

Which among the following series is an example of a finite A.P?

• A. The set of multiples of seven
• B. The set of odd numbers
• C. The set of even numbers
• D. The set of odd numbers less than 9

Answer 1

The correct option is D The set of odd numbers less than 9

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 odd numbers less than 9 is 1,3,5,7. $\Rightarrow$ Finite AP.

The set of odd numbers is 1,3,5,7,9, ..... $\Rightarrow$ Infinite AP.

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

The set of multiples of 7 is 7,14,21,28,.... $\Rightarrow$ Infinite AP.