2010
Mathematics
67ca00ce0c643c71d77dee1f
Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....
A.
5/8
B.
5/7
C.
5/11
D.
5/9
Correct Answer: 5/9
Explanation
Using S∞ = a/1−r r = 0.05/0.5 = 1/10 S∞ = 0.5/(1/10) = 0.5/(9/10) = 0.5×10/9 = 5/9
Using S∞ = a/1−r r = 0.05/0.5 = 1/10 S∞ = 0.5/(1/10) = 0.5/(9/10) = 0.5×10/9 = 5/9THIS WEEK's
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