show that the series converges and find its sum using the ra

show that the series converges and find its sum using the ratio test. the sum k=0 to infinity ((1/2^k)-(1/2^(k+1))

Solution

Tn+1/Tn =   (1/2)n+1 / (1/2)n

: 1/2   as ratio is less than 1 hence converges !!!

it is a geometric eries with common ratio = 1/2

S = 1/1-1/2 :   2 answer !!!!

show that the series converges and find its sum using the ratio test. the sum k=0 to infinity ((1/2^k)-(1/2^(k+1))SolutionTn+1/Tn = (1/2)n+1 / (1/2)n : 1/2 as r

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