Problema Solution
find the sum of the first n term of the geometric sequence of the values a1 and r
Find the sum of the first n terms of the geometric sequence for the values of a1 and r.
n = 4, a1 = 228, r = 4.8
Answer provided by our tutors
Hi
Geometric sequence {4,2,1,1/2,1/4...}
what is the relationship between one term to the next?? r = 1/2
a1 = 4
= 4*(1-.5^10)/.5 = 8*.999 = 7.992
Note: with r <|1| Sum = a1/(1-r) = 4/.5 = 8 approximates the sum!
The sum of an infinite number of terms of this sequence = 8
(1/2)^20 = .00000095 for example,
demonstrates what happens to value of (1-r^20) as n gets large