Find the sum of the geometric series \frac{5}{4} + \frac{5}{16} + \frac{5}{64} + \frac{5}{256} + \dots
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The common ratio (r) can be found by dividing any term by the previous term. In this case, we can see that each term is obtained by multiplying the previous term by 1/4. Therefore, the common ratio is 1/4. Show more…
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For the following finite geometric series say how many terms are in the series and find its sum. 5 + 5/4 + 5/16 + 5/64 + 5/256 + ... + 5/4^14. Number of terms = Round the answer for the sum to three decimal places. Sum =
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