Monotone Sequences

Suppose that absolute value of (c) is less than 1 and that, for every positive integer n,
(X sub n) = the summation from i=1 to n, of c^(i-1)

Explain why,
(X sub n) approaches (1/(1-c))

Thanks for your help!!

Quote:

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Originally Posted by Slazenger3

Suppose that absolute value of (c) is less than 1 and that, for every positive integer n,
(X sub n) = the summation from i=1 to n, of c^(i-1)

Explain why,
(X sub n) approaches (1/(1-c))

Thanks for your help!!

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It's the sum of a geometric series: , so now you've to take the limit in both sides when , and....what's the limit of ? Exactly!(Wink)

Tonio