How do you solve for the sum of the series

sequences-and-series

From the question$$\sum_{n=1}^{\infty}112*(0.065)^n$$My way of approaching is by trying to find the limit of the partial sum of a series but I can't get a general formula for the partial sum. Am I missing another easier way of approaching this?

Best Answer

Hint: The first term of the series is $112\times 0.065$ (not $112$). (Make sure you know why this is!) Then use the formula for an infinite geometric series.

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