jee-main 2020 Q54

jee-main · India · session2_05sep_shift1 Arithmetic Sequences and Series Find Specific Term from Given Conditions
If $3 ^ { 2 \sin 2 \alpha - 1 } , 14$ and $3 ^ { 4 - 2 \sin 2 \alpha }$ are the first three terms of an A.P. for some $\alpha$, then the sixth term of this A.P. is
(1) 66
(2) 81
(3) 65
(4) 78
If $3 ^ { 2 \sin 2 \alpha - 1 } , 14$ and $3 ^ { 4 - 2 \sin 2 \alpha }$ are the first three terms of an A.P. for some $\alpha$, then the sixth term of this A.P. is\\
(1) 66\\
(2) 81\\
(3) 65\\
(4) 78