Find the sum of. 1/4+1/8+1/16+........as far as the 8th term
To find the sum of the given series, we can use the formula for the sum of an infinite geometric series:
S = a / (1 - r), where S is the sum of the series, a is the first term, and r is the common ratio.
In this series, the first term (a) is 1/4 and the common ratio (r) is 1/2.
S = (1/4) / (1 - 1/2)
S = (1/4) / (1/2)
S = (1/4) * (2/1)
S = 2/4
S = 1/2
Therefore, the sum of the series is 1/2.