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Ms. Garcia Math |
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Sequence (or pattern) |
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Is an ordered set of numbers |
Example: 1,3,5,7,.. |
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Successive (consecutive) |
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Are terms that directly follow one after another in a sequence. |
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Linear sequence |
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A sequence of numbers in which there is a common difference between any term and the term before it. |
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In a linear sequence all the points fall on one straight line. |
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Common difference (d) |
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Is the difference between any two consecutive terms |
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Example: 1,3,5,7,.. Common difference d=2 |
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General term |
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The general formula for the Nth term of an arithmetic sequence |
Nth term = a₁ + (n – 1)d |
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Example: 1,3,5,7,.. a₁ =1, d=2, Nth term = 1+(n–1)2 = 1+2n-2 = 2n-1 |
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Linear equation |
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Is an equation whose graph is a straight line. |
Example: Y=mX+b |
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Y = 2 X - 1 |
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