assignment 14 query

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22:14:06 Query two examples and a picture ...explain the statement 'the rate of change of a quadratic function changes at a constant rate'

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RESPONSE --> (n,a(n)):a(n)=2.5n^2-2.5n+2

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22:14:11 ** We can calculate the rates of change of a quadratic function based on a series of consecutive intervals of constant length. We find that these rates change from interval to interval, and always by the same amount. Since the rates of change always change by the same amount, they are changing at a constant rate. **

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RESPONSE -->

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22:15:18 explain how to get the first few members of a sequence from its recurrence relation

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RESPONSE --> let n be the first substitution in the recurring equation. keep substituting what the problem is asking for

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22:15:26 03-09-2006 22:15:26 ** We let n be the first integer for which the value a(n) is not given, and we substitute this integer into the recurrence relation to evaluate a(n) for this 'new' integer, using values of a(n) for previous integers. If this is not possible then we have not been given enough information to evaluate the sequence. We then substitute the next integer and use values of a(n) for previous integers. We continue this process as long as necessary to get the results we need. **

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NOTES ------->

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22:15:28 ** We let n be the first integer for which the value a(n) is not given, and we substitute this integer into the recurrence relation to evaluate a(n) for this 'new' integer, using values of a(n) for previous integers. If this is not possible then we have not been given enough information to evaluate the sequence. We then substitute the next integer and use values of a(n) for previous integers. We continue this process as long as necessary to get the results we need. **

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RESPONSE -->

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I think you understant this; let me know if you have questions.