CBSE Class 10 Answered
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Question 7
The sum of p terms of an AP is q and sum of q terms is p. Then prove that the sum of (p+q) terms is –(p+q)
Asked by miniprasad | 08 Dec, 2018, 22:45: PM
Expert Answer
Let a be the first term and d be the common difference
Sum of p terms = (p/2) [2a +(p-1)d ]= q or 2a +(p-1)d = 2q/p ...................(1)
Sum of q terms = (q/2)[ 2a + (q-1)d]= p or 2a +(q-1)d = 2p/q ....................(2)
Eqns.(1) and (2) are two linear equations. These equations can be solved to get a and d
we get ............................(3)
Sum of (p+q) terms = ..........................(4)
substitute for a and d using eqn.(3) in eqn.(4) and simplify the algebric expression to get the answere -(p+q)
Answered by Thiyagarajan K | 09 Dec, 2018, 21:13: PM
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