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GucciDoTheDishes

  • one year ago

** will medal and fan What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2?

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  1. guccidothedishes
    • one year ago
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    n=5−2(n−1);allintegerswheren\[≥1 an=5−2(n−1);allintegerswheren\[≥0 an=5−3(n−1);allintegerswheren\[≥1 an=5−3(n−1);allintegerswheren\[≥0

  2. guccidothedishes
    • one year ago
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    @liljj1421 ??

  3. guccidothedishes
    • one year ago
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    @Michele_Laino

  4. Michele_Laino
    • one year ago
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    hint: we can write this: \[\Large \begin{gathered} {a_2} = {a_1} + d \hfill \\ 2 = 5 + d \hfill \\ \end{gathered} \] where d is the sequence constant

  5. Michele_Laino
    • one year ago
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    what si d?

  6. Michele_Laino
    • one year ago
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    after that the general formula, for the n-th term is: \[\Large {a_n} = {a_1} + \left( {n - 1} \right)d\] where a_1=5

  7. guccidothedishes
    • one year ago
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    how do I get d ?

  8. Michele_Laino
    • one year ago
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    it is simple, from the second equation, I can write: \[d = 2 - 5 = ...?\]

  9. guccidothedishes
    • one year ago
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    so D=3 ?

  10. Michele_Laino
    • one year ago
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    no, d=-3

  11. guccidothedishes
    • one year ago
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    okay so I can already eliminate 2 of the answer choices

  12. guccidothedishes
    • one year ago
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    but how do I determine the second part of the answer?

  13. Michele_Laino
    • one year ago
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    yes! furthermore, please keep in mind that we start to count from n=1

  14. guccidothedishes
    • one year ago
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    So my answer is C

  15. Michele_Laino
    • one year ago
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    yes! That's right! since if n=1, we get: \[{a_1} = {a_1} + \left( {1 - 1} \right)d = 5 + 0 \times \left( { - 3} \right) = 5\]

  16. guccidothedishes
    • one year ago
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    Thank you so much :)

  17. Michele_Laino
    • one year ago
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    :)

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