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Estimate Series Sums and Compare to Models Using Technology
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.160 Estimate Series Sums and Compare to Models Using Technology
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A table of partial sums is: S5 = 3.72, S10 = 4.39, S20 = 4.79, S40 = 4.93. Which model best fits the long-run behavior of the series sum?
A
It grows without bound, consistent with a divergent series like the harmonic series.
B
It decreases toward 0, so the sum must be 0.
C
It oscillates wildly, so no estimate is possible.
D
It appears to approach a finite limit near 5, consistent with a convergent series (often geometric-like tails).
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