Question

if a, b are positive real numbers, show that the sequence log a, log(ab),log(ab)^2,log(ab)^3,.... is an a.p. and also find its general term

Answer 1

Hi Friend !!!

Here is ur answer !!!


log (ab) = 1 log (about)

log(ab)² = 2 log ab

log (ab) ³= 3 log ab

Common difference = 2 log ab - log ab

= log ab

3log ab - 2log ab = log ab

So, common differences are equal

So, they are in AP


Hope it helps u : )