Question

if 1/a , 1/b , 1/c are in A.P. show that a/c = a-b/b-c .

plz answer fast uts really urgent

Answer 1

difference between 2 consecutive term's is same so
$(1 \div b) - (1 \div a) = (1 \div c) - (1 \div b)$
just solve this.... u will get ans...
(a-b) /ab=(b-c)/bc
=(a-b) /a=(b-c)/c
a/c=(a-b) /(b-c)
hence proved
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