Let x₁, x₂, x₃, x₄ be in a geometric progression. If 2, 7, 9, 5 are subtracted respectively from x₁, x₂, x₃, x₄, then the resulting numbers are in an arithmetic progression. Then the value of 1/24 x₁ x₂ x₃ x₄ is:

Sequence and Series: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q188

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumSequence and Series179× since 2002

Let

x_1, x_2, x_3, x_4

be in a geometric progression. If 2, 7, 9, 5 are subtracted respectively from

x_1, x_2, x_3, x_4

, then the resulting numbers are in an arithmetic progression. Then the value of

\frac{1}{24} x_1 x_2 x_3 x_4

is:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q188

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumSequence and Series179× since 2002

Let

x_1, x_2, x_3, x_4

be in a geometric progression. If 2, 7, 9, 5 are subtracted respectively from

x_1, x_2, x_3, x_4

, then the resulting numbers are in an arithmetic progression. Then the value of

\frac{1}{24} x_1 x_2 x_3 x_4

is: