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Question

Check if 0 is a term of the AP: 31,28,25,_____

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Solution

If possible let 0 is the n th term of the given series. Where n is a natural number.
Then
31+(n1)(3)=0 [ Since the first term of the series is 31 and common difference is 3]
or, 3(n1)=31
or, n=313+1
This contradicts to the fact n is natural number.
So 0 does not belong to the series.

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