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Square minus a Square
factors into
(a+b)(a-b)
conjugates |
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A list of ordered numbers. The numbers do not have to be numerically consecutive. |
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Using one term to find the next term.
Arithmetic: an=an-1+d
Geometric: an=r . an-1 |
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An equation to find any term of a sequence.
Arithmetic: an=a0+dn
Geometric: an=a1. rn-1 |
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A sequence where you add a common difference, d, to each term to get the next consecutive term. |
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A sequence where you multiply each term by a common ratio, r, to get the next consecutive term. |
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Sum of the terms of a sequence. |
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The sum of the first n terms of a sequence.
The formulas for arithmetic and geometric partial sums are given on your reference sheet. |
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- An infinite arithmetic series has no limit.
- An infinite geometric series has no limit when ιrι>1.
- An infinite geometric series has a finite limit when ιrι<1.
- Sn=a1/(1-r)
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