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The formula for the sum of a geometric series is

Question

The formula for the sum of a geometric series is

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Solution

The formula for the sum of a geometric series is given by:

S = a * (1 - r^n) / (1 - r)

where:

  • S is the sum of the geometric series,
  • a is the first term of the series,
  • r is the common ratio, and
  • n is the number of terms.

This formula is used when the common ratio, r, is not equal to 1.

Here's how you can use this formula:

Step 1: Identify a, r, and n from the problem. Step 2: Substitute these values into the formula. Step 3: Simplify the expression to find the sum of the geometric series.

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