Term
| properties of evenly spaced sets |
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Definition
mean and median are equal to each other
-mean and median equal to the avg of the first and last term
-sum of terms = avg of set x #items in set |
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Term
| counting consecutive integers |
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Definition
extremes need to be counted
ie: how many integers from 6-10?
5, not 4
(Last-First+1) |
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Term
| counting consecutive multiple integers |
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Definition
(Last-First)/ increment +1
bigger increments= smaller result because bigger gaps |
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Term
| facts about sums and averages of evenly spaced sets |
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Definition
-avg of an odd # of consecutive integers will always be an integer
-avg of an even # of consecutive integers will never be an integer (no true middle number) |
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Term
| set of 3 consecutive integers |
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Definition
product of any set of 3 consecutive integers is divisible by 3
-any set of 3 consecutive integers must contain a multiple of 3
-will also be divisible by 2 |
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Term
| product of k consecutive integers |
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Definition
| product of k consecutive integers is always divisible by k! (k factorial) |
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Term
| set of consecutive integers with odd #terms |
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Definition
| any set of consecutive integers with an odd number of items, the sum of all integers is always a multiple of the #of items |
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Term
| set of consecutive integers with even number of items |
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Definition
| set of consecutive integers with even # of items: sum of all items is never a multiple of the #of items |
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