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Mathematics
Problem
If
3
2
sin
2
α
−
1
3^{2\sin 2\alpha - 1}
3
2
s
i
n
2
α
−
1
, 14 and
3
4
−
2
sin
2
α
3^{4 - 2\sin 2\alpha}
3
4
−
2
s
i
n
2
α
are the first three terms of an A.P. for some
α
\alpha
α
, then the sixth term of this A.P. is (a) 66 (b) 81 (c) 65 (d) 78
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