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Question

Common difference of an A.P must be a ---

A
Positive integer
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B
real no.
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C
Rational no.
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D
None of the above
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Solution

The correct option is D None of the above
Common difference of an A.P can be any real or non real no. It is just that the difference should be constant. For example:-
3 + i, 3 + 2i, 3 + 3i, .... 3 + ni
is also in A.P. with common difference 'i'.

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