Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
1. (a) Under what conditions will the series
∑
k
=
1
∞
50
(
2
x
−
1
)
k
−
1
\sum_{k=1}^{\infty} 50(2x-1)^{k-1}
∑
k
=
1
∞
50
(
2
x
−
1
)
k
−
1
converge? Explain your answer. 2. (b) Find
∑
k
=
1
∞
50
(
2
x
−
1
)
k
−
1
\sum_{k=1}^{\infty} 50(2x-1)^{k-1}
∑
k
=
1
∞
50
(
2
x
−
1
)
k
−
1
if
x
=
0.3
x = 0.3
x
=
0.3
.
Browse the problem library