Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....
Question 1 Report
Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....
Answer Details
The given series is a geometric series with the first term a = 1/2 and the common ratio r = 1/3. To find the sum to infinity of the series, we can use the formula:
S = a/(1 - r)
where S is the sum to infinity.
Substituting the values of a and r, we get:
S = (1/2)/(1 - 1/3)
= (1/2)/(2/3)
= 1/2 * 3/2
= 3/4
Therefore, the sum to infinity of the series 1/2, 1/6, 1/18, ... is 3/4.
So the answer is (C) 3/4.
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