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asuwafohjames

The sum of the first thirteen terms of the geometric series is -7971615.

What is Geometric series?

This is the sum of an infinite number of terms that has a constant ratio between successive terms.

To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.

Formula:

  • S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1

Where:

  • S₁₃ = Sum of the first thirteen terms of the geometric series.
  • a = First term of the series
  • r = Common ratio

Given:

  • a = -10
  • r = 3
  • n = 13

Substitute these values into equation 1

  • S₁₃ = -10(3¹³-1)/(3-1)
  • S₁₃ = -7971615

Hence, the sum of the first thirteen terms of the geometric series is -7971615.

Learn more about geometric series here: https://brainly.com/question/24643676

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