What is the formula for the arithmetic sequence if the sum of the same sequence is given by Sn= 2n + 3n2?
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Answer:
6n-1
Step-by-step explanation:
sn= 3n^2+2n
so an= sn-s(n-1)
an= 3n^2+2n-(3(n-1)^2+2(n-1))
= 3n^2+2n-(3(n^2-2n+1)+2n-2)
=3n^2+2n-3n^2+6n-3-2n+2= 6n-1
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