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Alg 2 Ch 13 Formulas
Formulas from Chapter 13: Sequences and Series
| Question | Answer |
|---|---|
| Quadratic Summation Formula | [n(n+1)(2n+1)]/6 |
| Constant Summation Formula | nc |
| Linear Summation Formula | [n(n+1)]/2 |
| Arithmetic Sum Formula | S{n}=n([a{1}+a{n}]/2) |
| Geometric Sum Formula | S{n}=a{1}([1-r^n]/[1-r]) |
| Arithmetic General Formula | a{n}=a{1}+(n-1)d |
| Geometric General Formula | a{n}=a{1}r^(n-1) |
| Sum of Infinite Geometric Series Formula | S{&}=[a{1}]/[1-r] |
| Combined Arithmetic Sum Formula | S{n}=(n/2)(2a{1}+(n-1)d) |
| Mathematical Induction | S{n+1}=S{n}+a{n+1} |