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
0
answer is C.
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Detailed Solution
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.