Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum? 3+ 10x + 20x² + 40x³ +... sum = domain= (Give your domain as an interval or comma separated list of intervals; for example, to enter the region x < -1 and 2 < x≤ 3, enter (-infinity,-1), (2,3].)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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q4  and q5

The second and fifth terms of a geometric sequence are 10 and 80 respectively. Which term of the sequence is 40,960? If it is not a term in the sequence, enter
None.
n =
Transcribed Image Text:The second and fifth terms of a geometric sequence are 10 and 80 respectively. Which term of the sequence is 40,960? If it is not a term in the sequence, enter None. n =
Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum?
3+10x + 20x² + 40x³ +...
sum =
domain=
(Give
your
r domain as an interval or comma separated list of intervals; for example, to enter the region x < −1 and 2 < x ≤ 3, enter (-infinity,-1), (2,3].)
Transcribed Image Text:Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum? 3+10x + 20x² + 40x³ +... sum = domain= (Give your r domain as an interval or comma separated list of intervals; for example, to enter the region x < −1 and 2 < x ≤ 3, enter (-infinity,-1), (2,3].)
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