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Chapter 09Sequences

0109.01Sequence Notation
0209.02Arithmetic and Geometric Sequences
0309.03Recursive Sequences
0409.04The Fibonacci Sequence
0509.05Convergence/Divergence
0609.06Increasing/Decreasing
0709.07Bounded/Unbounded
0809.08The Monotone Convergence Theorem
0909.09Subsequences
1009.10The Bolzano–Weierstrass Theorem
1109.11Cauchy Sequences
1209.12The Cauchy Convergence Criterion

Chapter 09 · Sequences

0109.01Sequence Notation
0209.02Arithmetic and Geometric Sequences
0309.03Recursive Sequences
0409.04The Fibonacci Sequence
0509.05Convergence/Divergence
0609.06Increasing/Decreasing
0709.07Bounded/Unbounded
0809.08The Monotone Convergence Theorem
0909.09Subsequences
1009.10The Bolzano–Weierstrass Theorem
1109.11Cauchy Sequences
1209.12The Cauchy Convergence Criterion

Topics / 09 Sequences

09.04

The Fibonacci Sequence

1, 1, 2, 3, 5, 8, …: each term is the sum of the two before, and the ratios close in on the golden ratio.

About 13 minutes

You'll learn to

→Compute Fibonacci numbers
→Find the limit of the ratios of consecutive terms
→Use Binet's formula
→Use Fibonacci identities

← 09.03 Recursive Sequences 09.05 Convergence/Divergence →

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