CBSE Class 10 Answered
if in an A.P. the sum of m terms equal to n and the sum of n terms is equal to m, then prove that the sum of (m+n) terms is -(m+n)
Asked by ananya_monica | 28 Sep, 2023, 07:07: PM
Expert Answer
Let a be the first term and d be the common difference of A.P.
Sum of m terms of A.P
..................................(1)
Similarly , sum of n terms of A.P
............................... (2)
By solving eqn.(1) and (2) , we get
................................... (3)
.........................(4)
Sum of (m+n) terms of A.P is
....................... (5)
By substituting initial value a from eqn.(4) and d from eqn.(3) , we get from eqn.(5) after simplification is
Above expression is simplified to
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Answered by Thiyagarajan K | 28 Sep, 2023, 09:44: PM
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