2004
Mathematics
67ca00ce0c643c71d77dee1f
Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....
A.
2/3
B.
1/3
C.
3/4
D.
1
Correct Answer: 3/4
Explanation
a=1/2 r=(1/6)/(1/2)=1/6×2/1=1/3 S_∞=a/(1-r) S_∞=(1/2)/(1-1/3)=(1/2)/(3/2)=1/2×3/2=3/4
a=1/2 r=(1/6)/(1/2)=1/6×2/1=1/3 S_∞=a/(1-r) S_∞=(1/2)/(1-1/3)=(1/2)/(3/2)=1/2×3/2=3/4THIS WEEK's
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