Question

PLEASE HELP QUICKLY WILL GIVE A MEDAL
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 36 and 2304, respectively

Answer 1

@Directrix

Answer 2

Choices

an = 9 ⋅ 4n+1

an = 9 ⋅ 4n+3

an = 9 ⋅ 4n-1

an = 9 ⋅ 4n-2

Answer 3

Courtesey of @pinterestaddict15

Since
T(n)=T(1)r^(n-1)
=>
T(1)r=36--------(1)
T(1)r^4=2304--------(2)
(2)/(1)=>
r^3=2304/36=>
r=4
From (1), get
T(1)*4=36=>
T(1)=9
=>
the general term
T(n)=9*4^(n-1)

Answer 4

@faariat You are welcome.