Question on: JAMB Mathematics - 2009

Find to infinity, the sum of the sequence (1, \frac{9}{10}, \left(\frac{9}{10}\right)^2, \left(\frac{9}{10}\right)^3,.....)

A
10
B
9
C
10/9
D
9/10
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Correct Option: A

(a=1, r=\frac{9}{10}\

S_n = \frac{a}{1-r}\

S_n = \frac{1}{1-\frac{9}{10}}\

=1\div \frac{1}{10}\

=1\times \frac{10}{1}\

10)

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