jee-main 2026 Q18

jee-main · India · session1_21jan_shift1 Geometric Sequences and Series Finite Geometric Sum and Term Relationships
If $\mathbf{a}_{\mathbf{1}}, \mathbf{a}_{\mathbf{2}}, \mathbf{a}_{\mathbf{3}}, \ldots$ are in increasing geometric progression such that
$a_{1} + a_{3} + a_{5} = 21$,
$a_{1}a_{3}a_{5} = 64$
then $a_{1} + a_{2} + a_{3}$ is
(A) 7 (B) 10 (C) 12 (D) 15
If $\mathbf{a}_{\mathbf{1}}, \mathbf{a}_{\mathbf{2}}, \mathbf{a}_{\mathbf{3}}, \ldots$ are in increasing geometric progression such that

$a_{1} + a_{3} + a_{5} = 21$,

$a_{1}a_{3}a_{5} = 64$

then $a_{1} + a_{2} + a_{3}$ is

(A) 7
(B) 10
(C) 12
(D) 15