User:Vikax

FORMULA TO FIND PRODUCT OF N TERMS OF GEOMETRIC PROGRESSION

let any progression be $a,ar,ar^{2},ar^{3},ar^{4},ar^{5}......ar^{(}n-1)$

therefore $P=(a)(ar)(ar^{1})(ar^{2}).......(ar^{(}n-1))$

 $P=A^{n}*R^{(}n-1)$

  take n-1 as k and putting in the equation s = k(k+1)/2   (because powers are always in addition)

  we get s = n(n-1)/2

   hence our final formula is $P=A^{n}*R^{s}$

  where s = n(n-1)/2