QJEEM19Maba40: JEE Main 2019 Mathematics - Class 11 JEEM19Maba40 Solution: Let a 1 , a 2 , . . . . . ., a 10 be a G.P.    If a 3 …

Question

Verified Solution • 2025–26 Session moderate

Let a₁, a₂, . . . . . ., a₁₀ be a G.P. If

\frac{a_{3}}{a_{1}} = 25,

then

\frac{a_{9}}{a_{5}}

equals

Accepted Answer

a₁, a₂, . . . . ., a₁₀ are in G.P.,

Let the common ratio be r

\frac{a_{3}}{a_{1}} = 25 \Rightarrow \frac{a_{1} r^{2}}{a_{1}} = 25 \Rightarrow r^{2} = 25

\frac{a_{9}}{a_{5}} = \frac{a_{1} r^{8}}{a_{1} r^{4}} = r^{4} = 5^{4}

QJEEM19Maba40: JEE Main 2019 Mathematics - Class 11 JEEM19Maba40 Solution: Let a 1 , a 2 , . . . . . ., a 10 be a G.P. &nbsp;&nbsp; If a 3 …