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

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

1 Answer
Jun 25, 2018

Please see below.

Explanation:

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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