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Sequences and Series Convergence

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12th Grade

Sequences and Series Convergence
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11 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the series ∑(1/n) converges or diverges.

Remains constant

Diverges

Converges

Oscillates

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the convergence of the series ∑(1/2^n).

The series approaches infinity.

The series oscillates.

The series converges.

The series diverges.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Investigate the convergence of the series ∑(n^2/2^n).

The series ∑(n^2/2^n) diverges.

The series ∑(n^2/2^n) converges.

The series ∑(n^2/2^n) oscillates.

The series ∑(n^2/2^n) approaches infinity.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Check the convergence of the series ∑(1/n^2).

The series ∑(1/n^2) converges.

The series ∑(1/n!) converges.

The series ∑(1/n^3) converges.

The series ∑(1/n) converges.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Examine the convergence of the series ∑(n!/n^n).

The series tends to infinity

The series diverges.

The series oscillates

The series converges

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine if the series ∑(sin(n)/n) converges or diverges.

The series ∑(sin(n)/n) diverges due to alternating signs.

The series ∑(sin(n)/n) converges.

The series ∑(sin(n)/n) converges to 0.

The series ∑(sin(n)/n) converges to 1.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the convergence of the series ∑(1/(n*(n+1))).

n^2

2

1

1/n

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