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What are the explicit equation and domain for an arithmetic sequence with a first term of 6 and a second term of 2?
an = 6 − 2(n − 1); all integers where n ≥ 1
an = 6 − 2(n − 1); all integers where n ≥ 0
an = 6 − 4(n − 1); all integers where n ≥ 0
an = 6 − 4(n − 1); all integers where n ≥ 1
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OpenStudy (anonymous):
@hartnn @studygeek15
hartnn (hartnn):
ok, so \(a_1 = 6, a_2 =2 \)
can you find the common difference 'd' from here ?
hartnn (hartnn):
then you would just use the formula
\(\Large a_n = a_1+(n-1)d\)
where a1 = 1st term = 6 and d =...
OpenStudy (anonymous):
I will try it (:
hartnn (hartnn):
good, common difference is difference between consecutive terms, like 2nd term - 1st term = 3rd term -2nd term =...and so on
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OpenStudy (anonymous):
Is it a?
hartnn (hartnn):
d = 2nd term - 1st term = 2-6 = ... ?
OpenStudy (anonymous):
-4... so it is D then?
hartnn (hartnn):
yes! it is, because n always starts from 1 :)
OpenStudy (anonymous):
Alright! That makes sense. Thank you so much!! :D
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