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If 227and π appear as two distinct terms of an A.P., then common difference of the A.P. must be

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a
an integer
b
a rational number
c
an irrational number
d
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detailed solution

Correct option is C

Let the A.P. be a1, a2, ... suppose     am=227 and an=πIf d is the common difference of the A.P., then(m−n)d=am−an=227−π                                 ⇒d=1m−n227−πwhich is a irrational number as π is an irrational number.


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