Please help me ?

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2 Answers
Dec 9, 2017

#E#

Explanation:

.

It is #E# because:

For #n=1#:

#a_1=3(1)(-1)^(1+1)=3(-1)^2=3(1)=3#

For #n=2#

#a_2=3(2)(-1)^(2+1)=6(-1)^3=6(-1)=-6#

For #n=3#

#a_3=3(3)(-1)^(3+1)=9(-1)^4=9(1)=9#

For #n=4#

#a_4=3(4)(-1)^(4+1)=12(-1)^5=12(-1)=-12#

Dec 9, 2017

#E#

Explanation:

#"substitute "n=1,2,3,4" into "a_n#

#n=color(red)(1)toa_(color(red)(1))=(3xxcolor(red)(1))(-1)^(color(red)(1)+1)=3xx1=3#

#n=color(red)(2)toa_(color(red)(2))=(3xxcolor(red)(2))(-1)^(color(red)(2)+1)=6xx-1=-6#

#n=color(red)(3)toa_(color(red)(3))=(3xxcolor(red)(3))(-1)^(color(red)(3)+1)=9xx1=9#

#n=color(red)(4)toa_(color(red)(4))=(3xxcolor(red)(4))(-1)^(color(red)(4)+1)=12xx-1=-12#

#Etoa_n=3n(-1)^(n+1)to{-3,6,-9,12}#