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If 22/7 and 2.85 appear as two terms of an A.P , then common difference of the A.P must be

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Solution: Let the A.P be a1,a2,.......suppose

am=22/7;and;an=2.85

If d is the common difference of the A.P then

(m-n)d=am-an=22/7-285/100\ \Rightarrow d=1/(m-n)(22/7-285/100)

Which is a rational number

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Deependra Verma

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