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Mathematics
Problem
Let
A
1
,
A
2
,
A
3
,
…
A_1, A_2, A_3, \dots
A
1
,
A
2
,
A
3
,
…
be an increasing geometric progression of positive real numbers. If
A
1
A
3
A
5
A
7
=
1
1296
A_1A_3A_5A_7 = \frac{1}{1296}
A
1
A
3
A
5
A
7
=
1296
1
and
A
2
+
A
4
=
7
36
A_2 + A_4 = \frac{7}{36}
A
2
+
A
4
=
36
7
, then the value of
A
6
+
A
8
+
A
10
A_6 + A_8 + A_{10}
A
6
+
A
8
+
A
10
is equal to (a) 33 (b) 37 (c) 43 (d) 47
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