Questions

For the first ten problems, use any combination of the Ratio Test and the Polynomial Quotient Test (PQT) to determine if the given series converge or diverge.

1) What is the Limit of the series? State the letter of the correct answer.

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2) Does the series converge or diverge?

a.) Converge

b.) Diverge

3) What is the Limit of the series? State the letter of the correct answer.

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4) Does the series converge or diverge?

a.) Converge

b.) Diverge

5) What is the new expression of the series to be tested after simplification?

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6) What is the Limit of the series?

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7) Does the series converge or diverge?

a.) Converge

b.) Diverge

8) What is the new expression of the series to be tested after simplification?

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9) What is the Limit of the series? State the letter of the correct answer.

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10) Does the series converge or diverge?

a.) Converge

b.) Diverge

For the next problem, use the Principle of Math Induction (PMI) to show that:

11) What is the simplified expression, on the right side of the equals sign, for n = k + 1? State the letter of the correct answer.

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For the next problem, use the Principle of Math Induction (PMI) to show that:

12) What is the simplified expression, on the right side of the equals sign, for n = k + 1?

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13) Use the Binomial Theorem and Pascal’s Triangle to find the expanded form of the binomial expression. State the letter of the correct answer.

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14) Use the Binomial Theorem and Pascal’s Triangle to find the expanded form of the binomial expression. State the letter of the correct answer.

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15) Use the Binomial Theorem and Pascal’s Triangle to find the expanded form of the binomial expression. State the letter of the correct answer.

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