Question

$\huge\red{\fbox{\bf{Question}}}$

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:

$(m + n)( \frac{1}{m } - \frac{1}{p} ) = (m + p)( \frac{1}{m} - \frac{1}{n} )$
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Answer 1

Answer:

If the sum of m terms of an AP is equal to the sum of either the next n terms or the next p terms, then prove that (m+n)(m1−p1)=(m+p)(m1−n1).