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If a,b,c are in AP then show that an(a+b),bc(b+c),ca(c+a) are in AP.

If a,b,c are in AP then show that an(a+b),bc(b+c),ca(c+a) are in AP.

Grade:9

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

n is not defined assuming it to be b

Assume 3 numbers 1,2,3

1,2,3 are in AP

butab(a+b),bc(b+c),ca(c+a)
= 6, 30, 12

contradictions never coexist, when you come across one check assumption

kindly revert with correct question

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