Mathematics - useful results
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Created by:
philippgrinev on June 25, 2012
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A set of potentially useful results.
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6 terms
Terms | Definitions |
|---|---|
 Finding nth term of sequence with alternating signs | Positive term first: The answer will have a multiplication by (-1)^(n+1). Negative first: The answer will have a multiplication by (-1)^n. |
| Sum of an arithmetic progression | The sum of n terms of an arithmetic progression with first term being a, the last l, and d the common difference is equal to (1/2)n(a+l) or (1/2)(2a+(n-1)d). |
| Last term of an arithmetic progression | = a+(n-1)d, where a is the first term and d is the common difference of the progression. |
| Permutation formula | nPr = (n!)/((n-r)!) |
| Combination formula | nCr = (n!)/(r!(n-r)!) |
| Sum of geometric progression | The sum of n terms is: S = [a(1-r^n)]/[1-r], where r is what we multiply each term by to get the next one, a is the first term of the progression. |
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