Saturday, November 12, 2011

G.P. Series

A series is in Geometric Progression (G.P.), if it has the following form:

a, ar, ar2, ar3,ar4 ....
where a=First term and r=Common ratio.


Some useful derivations from A.P. Series:

  • nth term = ar(n-1).
  • Sum of n terms = a(1 - rn) / (1 - r) where r<1.
  • Sum of n terms = a(rn - 1) / (r - 1) where r>1.

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