Unit 10: Infinite Sequences and Series

/ Unit 10: Infinite Sequences and Series

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You’ll explore convergence and divergence behaviors of infinite series and learn how to represent familiar functions as infinite series. You’ll also learn how to determine the largest possible error associated with certain approximations involving series.

Question Difficulty:

Question	Difficulty	Students Solved
Taylor Polynomial Formula	medium	41
Conditional Convergence of an Alternating Series	hard	34
Sum of an Infinite Geometric Series	easy	16
Properties Of Geometric Series	medium	20
Sum of a Series from Partial Sums	easy	16
Lagrange Error Bound for Taylor Polynomial	medium	6
Radical Equation With Absolute Value	medium	8
Sum of a Geometric Series	medium	5
Series Convergence Using The Limit Comparison Test	medium	4
Sum of a Geometric Series	easy	4
Integral Test Comparison	medium	6
Ratio Of Actual Error To Lagrange Error Bound	medium	3
Geometric Series Depreciation Model	medium	6
Identifying a Function from a Maclaurin Series	medium	6
Sum of a Geometric Series	easy	7
Ratio Test for Series Convergence	easy	2
Alternating Series Convergence	medium	4
Nth Term Test Conclusion	medium	4
Applying the Ratio Test with Factorials	easy	4
Maclaurin Series from a Geometric Series	medium	1

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Unit Leaderboard

Rank	User	Correct Count	Attempt Count	Time	Score
#1	gaoyuhui383	16	20	0m 00s	1,560
#2	leashaali	16	23	0m 00s	1,530
#3	nakulanand18	11	12	0m 00s	1,090
#4	fourthreichfuries	17	37	11m 00s	840
#5	prisha.lokeshraj	8	10	0m 00s	780
#6	davi.sales	6	6	0m 00s	600
#7	erikayeh0801	7	11	1m 36s	564
#8	aylindefne.ozer.fentek	6	8	0m 19s	561
#9	buiquynhanh3006	5	5	0m 00s	500
#10	javoxirravshanov2009	5	6	0m 00s	490

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