An infinite geometric series contains consecutive terms 262.4, 209.92, 167.963 and the sum is 1640. What is the first term?

328

Step-by-step explanation:

is the equation for the sum of an infinite geometric series, where 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.

Therefore, .

This simplifies to

Therefore,

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

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