Mathematics
15.09.2021 18:00
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An infinite geometric series contains consecutive terms 262.4, 209.92, 167.963 and

An infinite geometric series contains consecutive terms 262.4, 209.92, 167.963 and the sum is 1640. What is the first term?
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milonirishovnsez
milonirishovnsez
4,6(13 marks)

328

Step-by-step explanation:

\frac{a}{1-r} is the equation for the sum of an infinite geometric series, where a is the first term of the infinite geometric series, and r is the common ratio between the terms. Here, we can find the common ratio between any consecutive terms. \frac{209.92}{262.4} = \frac{4}{5}

Therefore, \frac{a}{1-\frac{4}{5}} = 1640.

This simplifies to 5a = 1640

Therefore, a = 328

madisin21
madisin21
4,5(89 marks)

D Graph A

Step-by-step explanation:

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