If the sum of `m` terms of an `A.P` is equal to these that `n` terms and also to the sum of the next `p` terms, prove

If the sum of p terms of an A.P is equal to the sum of q terms, then show that the sum of its p+q terms is zero.

If the sum of m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, then prove that (m+n)(1/m-1/p)=(m+p)(1/m-1/n)dot

If the sum of the first m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, prove that, (m+n)((1)/(m)-(1)/(p)) = (m+p)((1)/(m) - (1)/(n))

If the sum of m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, then prove that (m+n)(1/m-1/p)=(m+p)(1/m-1/n)dot

If the sum of m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, then prove that (m+n)(1/m-1/p)=(m+p)(1/m-1/n)dot

If the sum of m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, then prove that (m+n)(1/m-1/p)=(m+p)(1/m-1/n)dot

If the sum of m terms of an A.P, is equal to the sum of n terms of the A.P ., then the sum of (m + n) terms is

If the sum of m terms of an A.P.is equal to the sum of either the next n terms or the next p terms,then prove that (m+n)((1)/(m)-(1)/(p))=(m+p)((1)/(m)-(1)/(n))

If the sum of p terms of an A.P is equal to sum of q terms (p != q) then the sum of (p + q) terms is

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is