Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
a
1
,
a
2
,
a
3
,
…
,
a
n
,
…
a_1, a_2, a_3, \dots, a_n, \dots
a
1
,
a
2
,
a
3
,
…
,
a
n
,
…
are in GP, then the determinant
Δ
=
∣
log
a
n
log
a
n
+
1
log
a
n
+
2
log
a
n
+
3
log
a
n
+
4
log
a
n
+
5
log
a
n
+
6
log
a
n
+
7
log
a
n
+
8
∣
\Delta = \begin{vmatrix} \log a_n & \log a_{n+1} & \log a_{n+2} \\ \log a_{n+3} & \log a_{n+4} & \log a_{n+5} \\ \log a_{n+6} & \log a_{n+7} & \log a_{n+8} \end{vmatrix}
Δ
=
lo
g
a
n
lo
g
a
n
+
3
lo
g
a
n
+
6
lo
g
a
n
+
1
lo
g
a
n
+
4
lo
g
a
n
+
7
lo
g
a
n
+
2
lo
g
a
n
+
5
lo
g
a
n
+
8
is equal to a. 1 b. 0 c. 4 d. 2
Browse the problem library