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Question

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

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

The correct option is D 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. Finite AP.

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

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

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

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

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