CCSS HSA-SSE.B.4 Worksheets
Algebra 2 · Seeing Structure in Expressions
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use it to solve problems.
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Teaching guide
What students learn
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use it to solve problems.
Worked example
Find the sum of the finite geometric series 2 - 4 + 8 - 16 (first term a = 2, common ratio r = -2, 4 terms).
Answer: -10
Why: Sₙ = a(1 - rⁿ)/(1 - r) = 2(1 - )/(1 - (-2)) = 2(1 - 16)/(3) = -10.
Generated and checked in code, so it is correct.
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