Thursday, February 23, 2012

Adding Infinite Sequences In The Form: a + a/b + a/b2 + ...

To add infinite sequences in the form: a + a/b + a/b2 + ...

Use the formula a/(1-r) where a is the first number, or the numerator, and r is whatever a is being multiplied, or 1/b.

EX: 2 + 2/3 + 2/9 + 2/37 + ...

= 2/(1- (1/3)) = 2/(2/3) = 3

EX: 4 + 2 + 1 + ...

= 4/(1- (1/2)) = 4/(1/2) = 8

-Marisa(:

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