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the pth term of an a.p is a and the qth term is b.prove that the sum of its (p+q) terms is (p+q)/2[a+b+a-b/p-q]

the pth term of an a.p is a and the qth term is b.prove that the sum of its (p+q) terms is (p+q)/2[a+b+a-b/p-q]

Grade:12

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
(p-1)d+a1=a
(q-1)d+a1=b
d=a-b/p-q
a1=(p(p(-q)-(p-1)(a-b))/(p-q)
then we find (p+q)/2(2a1+(p+q-1)*d)
to get answer

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