Find to infinity the sum of the sequence 1 frac... - JAMB Mathematics 2009 Question
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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