If 3^(2 sin 2α - 1), 14 and 3^(4 - 2 sin 2α) are the first three terms of an A.P. for some α, then the sixth terms of this A.P. is:

Sequence and Series: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Morning shift · Q5212

JEE Main 20205 Sep, Morning shiftMathematicsMediumSequence and Series179× since 2002

{3^{2\sin 2\alpha - 1}}

, 14 and

{3^{4 - 2\sin 2\alpha }}

are the first three terms of an A.P. for some

\alpha

, then the sixth terms of this A.P. is:

JEE Main 2020 · 5 Sep, Morning shift · Q5212

JEE Main 20205 Sep, Morning shiftMathematicsMediumSequence and Series179× since 2002

{3^{2\sin 2\alpha - 1}}

, 14 and

{3^{4 - 2\sin 2\alpha }}

are the first three terms of an A.P. for some

\alpha

, then the sixth terms of this A.P. is: