How to write the 1st four terms of each sequence given the general term below?

Question

(1) #a_n=3n+4#
(2) #a_n=(-1/2)^n#

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Answer 1 · 2018-06-25T00:36:20

Please see below.

.

#color(red)((1))#

#a_n=3n+4#

#n=0, :. a_0=3(0)+4=0+4=4#

#n=1, :. a_1=3(1)+4=3+4=7#

#n=2, :. a_2=3(2)+4=6+4=10#

#n=3. :. a_3=3(3)+4=9+4=13#

#color(red)((2))#

#a_n=(-1/2)^n#

#n=0, :.a_0=(-1/2)^0=1#

#n=1, :. a_1=(-1/2)^1=-1/2#

#n=2, :. a_2=(-1/2)^2=1/4#

#n=3. :. a_3=(-1/2)^3=-1/8#