Question

if the mth,nth and pth terms of an AP and GP are equal and are x,y,z respectively,prove that

Answer 1

prove that
\[x ^{y-z}.y ^{z-x}.z ^{x-y}=1\]

Answer 2

define each of them first
x = a + (m-1)d <-- for ap,
= a r^(m-1) <--- for gp

Answer 3

woops!
x = a + (m-1)d <-- for ap,
= b r^(m-1) <--- for gp

Answer 4

plz explain more

Answer 5

i don't know at the moment, but i would make full use of info given towards the problem.

Answer 6

plz solve the question

Answer 7

okay, write the denominators are the Geometric terms and the powers are the Arithemetic terms!! the power cancel up to give zero ... hence you get RHS

Answer 8

sorry ... *write the bases as Geometric terms
and exponent as Arithmetic terms

Answer 9

just show it...

Answer 10

do the rest for others and multiply it.