Unit 11 Honors / Extended Practice

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Honors / Extended pathway

Sequences & Infinite Series Foundations

Deeper proof, synthesis, parameter analysis, and unfamiliar applications.

1. Find lim n/(n+1).

2. Which statement best describes the central reasoning in Sequence Limits & Long-Run Behavior?

3. Is a_n=1−1/n increasing and bounded?

4. Which statement best describes the central reasoning in Monotone, Bounded & Recursive Sequences?

5. Find S_N for Σ_{n=1}^N1/[n(n+1)].

6. Which statement best describes the central reasoning in Infinite Series & Partial-Sum Sequences?

7. Find Σ_{n=0}∞3(1/4)^n.

8. Which statement best describes the central reasoning in Geometric & Telescoping Series?

9. Determine Σ n/(n+1).

10. Which statement best describes the central reasoning in The nth-Term Divergence Test?

11. Determine Σ1/n^{3/2}.

12. Which statement best describes the central reasoning in Integral Test, p-Series & Continuous Comparison?

13. For Σ1/n², bound R_10.

14. Which statement best describes the central reasoning in Integral-Test Remainders & Approximation?

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