Question 8 • Precalculus
The terms form a geometric sequence with first term A₁ = 3(0.7) = 2.1 and common ratio 0.7. The sum of the first n terms is Sₙ = 2.1(1 − 0.7ⁿ)/(1 − 0.7) = 7(1 − 0.7ⁿ). Therefore, the rule is “Sₙ equals 7 times (1 − 0.7 to the nth power).”
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