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anonymous

  • one year ago

What types of functions combine to create an explicit formula for arithmetic sequences?

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  1. freckles
    • one year ago
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    what does your question mean ?

  2. freckles
    • one year ago
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    \[a,a+d,a+2d,a+3d,... ,a+(n-1)d,... \text{ where the } nth \text{ term is given by } \\ a_n=a+(n-1)d\]

  3. freckles
    • one year ago
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    by the way the above is an arithemetic sequence because the common difference is d

  4. freckles
    • one year ago
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    that is term - previous term will always give you d

  5. anonymous
    • one year ago
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    functions that allow the calculation of any term in the sequence ??|

  6. freckles
    • one year ago
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    you can use the above formula to find a term a_k if you know d and the first term

  7. freckles
    • one year ago
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    for example say your first term is 5 and your common difference is 3 and you want to find a_(55) \[a_n=5+(n-1)3 \\ \text{ well } a_{55}=5+(55-1)3=5+(54)3=5+162=167\]

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