Unformatted text preview: r , called the common ratio , such that a n = ra n-1 , for every n > 1, r ≠ . Solving for r : r = a n a n − 1 The nth term of a geometric sequence is: a n =a 1 r n-1 , where a 1 =first term; r=common ratio. The Sum of the First N Terms of a Geometric Sequence is: S N = a 1 − r N 1 − r , r ≠ 0,1 where a = first term, r = common ratio. The Sum of an Infinite Geometric Series S = ar k − 1 k = 1 ∞ ∑ with common ratio |r|<1 is: S = a 1 − r , where a = first term, r = common ratio....
View Full Document
- Fall '11
- Algebra, 1 k, Geometric progression