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