farrahandmarvip8s3pf farrahandmarvip8s3pf
  • 18-12-2018
  • Mathematics
contestada

Given the sequence -1,3,7,11 find a25

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gmany
gmany gmany
  • 19-12-2018

It'a an arithmetic sequence.

[tex]a_1=-1\\a_2=-1+4=3\\a_3=3+4=7\\a_4=7+4=11\\\vdots\\\\\text{The general formula of nth term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{We have:}\\\\a_1=-1,\ d=4\\\\\text{Substitute:}\\\\a_n=-1+(n-1)(4)=-1+4n-4=4n-5\\\\\text{We want }\ a_{25}.\ \text{Substitute n = 25 to the formula:}\\\\a_{25}=4(25)-5=100-5=95\\\\Answer:\ \boxed{a_{25}=95}[/tex]

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