Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
(
a
,
a
r
,
a
r
2
,
…
)
(a, ar, ar^{2}, \dots)
(
a
,
a
r
,
a
r
2
,
…
)
be a geometric progression with common ratio
r
≠
0
r \neq 0
r
=
0
. What is the common ratio of the sequence
(
1
a
,
1
a
r
,
1
a
r
2
,
…
)
\left(\dfrac{1}{a},\,\dfrac{1}{ar},\,\dfrac{1}{ar^{2}},\,\dots\right)
(
a
1
,
a
r
1
,
a
r
2
1
,
…
)
? a)
r
r
r
b)
−
1
r
-\dfrac{1}{r}
−
r
1
c)
1
r
\dfrac{1}{r}
r
1
d)
1
r
2
\dfrac{1}{r^{2}}
r
2
1
Browse the problem library