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What is the sum of infinite geometric series where the first term is 2 and the second is 1 ?a.4 b.2 c.3 d.7 e.8?

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  • What is the sum of infinite geometric series where the first term is 2 and the second is 1 ?a.4 b.2 c.3 d.7 e.8?


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Answer #1 | 06/06 2017 06:45
2, 1, 1/2, 1/4, ... an = 2^(2 - n ) 2 + 1 + 1/2 + 1/4 + 1/8 + 1/16 + ... is a geometric series. The numbers from the previous sequence added together form this series. If the series converges, then this series sums to a single number (in this case 4).
Positive: 59.615384615385 %
Answer #2 | 06/06 2017 06:16
The first term is 2, and the common ratio is 1/2. sum = 2 / (1 - 1/2) = 2 / (1/2) = 4
Positive: 48.979591836735 %

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