Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The infinite geometric series
3
+
6
x
+
12
x
2
+
24
x
3
+
⋯
3 + 6x + 12x^2 + 24x^3 + \cdots
3
+
6
x
+
12
x
2
+
24
x
3
+
⋯
has a finite sum of
12
12
12
. Determine the value of
x
x
x
. a)
2
5
\dfrac{2}{5}
5
2
b)
3
4
\dfrac{3}{4}
4
3
c)
3
8
\dfrac{3}{8}
8
3
d)
1
3
\dfrac{1}{3}
3
1
Browse the problem library