Find the fifth term of a sequence whose first term is 8 and common ratio is 3/2 a. 81 b. 27/2 c. 81/2 d. 27 select the best answer from the choices provided a) a b) b c) c d) d

Option c. 81/2

Step-by-step explanation:

Fifth term: a5=?

First term: a1=8

Common ratio: r=3/2

an=a1*r^(n-1)

with n=5

a5=a1*r^(5-1)

a5=a1*r^4

Replacing the known values:

a5=8*(3/2)^4

a5=8*(3)^4/(2)^4

a5=8*81/16

Simplifying: Dividing the numerator and denominator by 8:

a5=(8*81/8)/(16/8)

a5=81/2

Option c. 81/2

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