if the sum of P terms of an A.P. is Q and the sum of Q terms is P than Prove the sum of (P+Q) terms is -(P+Q)?

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if the sum of P terms of an A.P. is Q and the sum of Q terms is P than Prove the sum of (P+Q) terms is -(P+Q)?

2007-03-07 04:53:43 · 2 answers · asked by satish s 1 in Science & Mathematics ➔ Mathematics

2 answers

let the first term be a
sum of p terms= 2a +(p-1)d=q ----------1
sum of q terms = 2a+(q-1)d = p ----------2
sum of p+q terms = 2a + (p+q -1)d -------------3
substract 2 from 1 and solve for d
d= -1
putting valude of d = -1 in eqn1 and 2
2a - (p-1)= p
2a -(q-1) + q
get values of a and d and plug in eqn 3
and u get the answer.

2007-03-07 05:10:06 · answer #1 · answered by Tasha 2 · 0⤊ 0⤋

What's a A.P. ? Not everyone is in class with you.

2007-03-07 12:57:55 · answer #2 · answered by John T 6 · 0⤊ 1⤋