Let A₁ and A₂ be two arithmetic means and G₁, G₂, G₃ be three geometric means of two distinct positive numbers. Then G₁⁴+G₂⁴+G₃⁴+G₁² G₃² is equal to:

Sequence and Series: JEE Main 2023 Mathematics question

JEE Main 2023 · 15 Apr, Morning shift · Q5184

JEE Main 202315 Apr, Morning shiftMathematicsHardSequence and Series179× since 2002

Let

A_{1}

and

A_{2}

be two arithmetic means and

G_{1}, G_{2}, G_{3}

be three geometric means of two distinct positive numbers. Then

G_{1}^{4}+G_{2}^{4}+G_{3}^{4}+G_{1}^{2} G_{3}^{2}

is equal to :

JEE Main 2023 · 15 Apr, Morning shift · Q5184

JEE Main 202315 Apr, Morning shiftMathematicsHardSequence and Series179× since 2002

Let

A_{1}

and

A_{2}

be two arithmetic means and

G_{1}, G_{2}, G_{3}

be three geometric means of two distinct positive numbers. Then

G_{1}^{4}+G_{2}^{4}+G_{3}^{4}+G_{1}^{2} G_{3}^{2}

is equal to :