Question

if a,b,c are in a.p then show that 1\bc,1/ca,1/ab are in a.p​

Answer 1

Answer:

Given a, b, c are in AP.

If we divide the numbers in AP with the same number, the resulting numbers will also be in AP.

Divide by abc.

a/abc, b/abc, c/abc are in AP.

So 1/bc, 1/ac, 1/ab

Hence proved