TBIL-Calc Sequences and Series (SQ)

Chapter 8 Sequences and Series (SQ)

By the end of this chapter, you should be able to...

Define and use explicit and recursive formulas for sequences.
Determine if a sequence is convergent, divergent, monotonic, or bounded, and compute limits of convergent sequences.
Compute the first few terms of a telescoping or geometric partial sum sequence, and find a closed form for this sequence, and compute its limit.
Determine if a geometric series converges, and if so, the value it converges to.
Use the divergence, alternating series, and integral tests to determine if a series converges or diverges.
Use the direct comparison and limit comparison tests to determine if a series converges or diverges.
Use the ratio and root tests to determine if a series converges or diverges.
Determine if a series converges absolutely or conditionally.

Before beginning this chapter, you should be able to...

Compute limits.
- Review: Khan Academy ¹
- Review: Khan Academy ²
Express the sum of indexed values using summation notation.
- Review: Khan Academy ³
Evaluate indefinite integrals.
- Review: Khan Academy ⁴

https://www.khanacademy.org/math/ap-calculus-bc/bc-limits-new/bc-1-2/v/introduction-to-limits-hd?modal=1

https://www.khanacademy.org/math/ap-calculus-bc/bc-diff-contextual-applications-new/bc-4-7/v/introduction-to-l-hopital-s-rule?modal=1

https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-3/v/sigma-notation-sum

https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-7/v/antiderivatives-and-indefinite-integrals