Asked by Jade
Determine convergence of divergence. If convergent, find the sum.
Sum (infinity, n = 0) (e/pi)^n
Sum (infinity, n = 0) (e/pi)^n
Answers
Answered by
Damon
1 + .865 + .865^2 +.865^3 ......
this is a geometric series with the first term one and every successive term multiplied by r =.865 (approx)
If r <1
then the geometric series converges.
for the series
a + a r + a r^2 + a r^3 ----- a r^oo
the sum is
S = a/(1-r)
here a = 1
and r = .865
S = 1/(1-.865) = 7.4
this is a geometric series with the first term one and every successive term multiplied by r =.865 (approx)
If r <1
then the geometric series converges.
for the series
a + a r + a r^2 + a r^3 ----- a r^oo
the sum is
S = a/(1-r)
here a = 1
and r = .865
S = 1/(1-.865) = 7.4
Answered by
Damon
Read:
http://en.wikipedia.org/wiki/Geometric_series
http://en.wikipedia.org/wiki/Geometric_series