What is the sum of the first thirteen terms in a geometric series with a
r = 3 a1= -10
1 answer:
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:
Substitute these values into equation 1
- S₁₃ = -10(3¹³-1)/(3-1)
- S₁₃ = -7971615
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Step-by-step explanation: