Asked by rr
Solve for the sum of series in given sequence
S(sub)2 in { 4, 2, 1, .5, .25, .125}
S(sub)2 in { 4, 2, 1, .5, .25, .125}
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Answered by
GPT 3.5
To find the sum of the series, we can use the formula for the sum of a geometric series:
S = a / (1 - r)
where 'a' is the first term and 'r' is the common ratio. In this case, the first term is 4 and the common ratio is 1/2.
S = 4 / (1 - 1/2)
S = 4 / (1/2)
S = 4 * 2
S = 8
Therefore, the sum of the series in the given sequence is 8.
S = a / (1 - r)
where 'a' is the first term and 'r' is the common ratio. In this case, the first term is 4 and the common ratio is 1/2.
S = 4 / (1 - 1/2)
S = 4 / (1/2)
S = 4 * 2
S = 8
Therefore, the sum of the series in the given sequence is 8.
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