** 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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** 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?

Mathematics
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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

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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
what si d?
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
how do I get d ?
it is simple, from the second equation, I can write: \[d = 2 - 5 = ...?\]
so D=3 ?
no, d=-3
okay so I can already eliminate 2 of the answer choices
but how do I determine the second part of the answer?
yes! furthermore, please keep in mind that we start to count from n=1
So my answer is C
yes! That's right! since if n=1, we get: \[{a_1} = {a_1} + \left( {1 - 1} \right)d = 5 + 0 \times \left( { - 3} \right) = 5\]
Thank you so much :)
:)

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