siennaforstiep7s2uv siennaforstiep7s2uv

26-04-2018
Mathematics

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Find a general term a for the geometric sequence: a3=2, a4=17

Find a general term a for the geometric sequence a32 a417 class=

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mkryukova19 mkryukova19

26-04-2018

a(n)=a(1)+d(n-1)

a(1)=8

a(4)= 8+d(4-1)
17=8+d*3
17-8=3d
9 =3d
d=3

a(n)= 8 +3(n-1) Sometimes it is required like this.

Sometimes , it is required to simplify more
a(n)=8+3n-3=5+3n
a(n)=5+3n

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