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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?
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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guccidothedishes
 one year ago
Best ResponseYou've already chosen the best response.0n=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

guccidothedishes
 one year ago
Best ResponseYou've already chosen the best response.0@liljj1421 ??

guccidothedishes
 one year ago
Best ResponseYou've already chosen the best response.0@Michele_Laino

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1hint: 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

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1after that the general formula, for the nth term is: \[\Large {a_n} = {a_1} + \left( {n  1} \right)d\] where a_1=5

guccidothedishes
 one year ago
Best ResponseYou've already chosen the best response.0how do I get d ?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1it is simple, from the second equation, I can write: \[d = 2  5 = ...?\]

guccidothedishes
 one year ago
Best ResponseYou've already chosen the best response.0okay so I can already eliminate 2 of the answer choices

guccidothedishes
 one year ago
Best ResponseYou've already chosen the best response.0but how do I determine the second part of the answer?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! furthermore, please keep in mind that we start to count from n=1

guccidothedishes
 one year ago
Best ResponseYou've already chosen the best response.0So my answer is C

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1yes! That's right! since if n=1, we get: \[{a_1} = {a_1} + \left( {1  1} \right)d = 5 + 0 \times \left( {  3} \right) = 5\]

guccidothedishes
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much :)
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