If …, 14 and … are the first three terms of an A.P. for some …, then the sixth terms of this A.P. is:

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Sequences and Series

JEE Main 2020 · 5 Sep, Morning shift · Q5212

MathematicsMedium178×since 2002Q5212

{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

MathematicsMedium178×since 2002Q5212

{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: