Q1 of 46 Page 1

If the nth term of an A.P. is pn + q, find its common difference.

Given: nth term of an A.P (an) = pn + q


To find: Common Difference (d)


Proof: We know that,


an = a + (n – 1)d


⇒ pn + q = a + (n – 1)d [given]


⇒ pn + q – a = (n – 1)d



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