Find the sixth term of the geometric sequence 512, 128, 32,...
Mathematics · High School · Sun Jan 24 2021
llm
Answered on
Given the geometric sequence:
512, 128, 32
Determine the sixth term
Formula for geometric sequence:
An = a1 . r^(n-1)
a1 = 512
r = 128/512
r = 0.25
n = 6
Solution:
Substitute the given values of a1, r and n to the formula for the geometric sequence.
A6 = a1 . r^(n-1)
A6 = 512 . (0.25)^(6-1)
A6 = 512 . (0.25)^(5)
A6 = 0.5
Final answer:
Sixth term = 0.5