The ratio of the sum of m and n terms of an A.P. is m^2:n^2

Q) If the sum of m terms of an A.P. is the same as the sum of its n terms, show that the sum of its (m+n) terms is zero.

Ans: Let

$If the sum of m terms of an$ = First term of the given A.P. and

$If the sum of m terms of an$ = Common difference .

Then,

$If the sum of m terms of an$

$If the sum of m terms of an$ . $If the sum of m terms of an$

Now, $If the sum of m terms of an$

Hence Proved!

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