Let … and … be two arithmetic means and … be three geometric means of two distinct positive numbers. Then … is equal to :

Option A. Now, we have the following relations :

Sequences and Series

JEE Main 2023 · 15 Apr, Morning shift · Q5184

MathematicsHard178×since 2002Q5184

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

MathematicsHard178×since 2002Q5184

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 :