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Canapatwoughai Canapatwoughai
  • 10-01-2017
  • Mathematics
Answered

What is the explicit rule for this geometric sequence? 4,4/5,4/25,4/125,…

a)an=15⋅4n

b)an=4⋅(15)n

c)an=15⋅4n−1

d)an=4⋅(15)n−1

Verified Answer :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 12-01-2017

So for the formula of geometric sequence is:

An = ar^(n-1)

Where an is the nth number

a is the first term

r is the common ratio

n is the number of terms

 

since a = 4

 

r = (4/5)/4 = 1/5

 

an = 4(1/5)^(n-1)

 

if the syntax of the choices are correct the
answer maybe D

Answer Link

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