JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

x_1, x_2, \ldots, x_n

are

n

non-zero real numbers such that

\begin{aligned}\left(x_1^2+x_2^2+\ldots+x_{N-1}^2\right) & \left(x_2^2+x_3^2+\ldots+x_N^2\right) \\ & \leq\left(x_1 x_2+x_2 x_3+\ldots+x_{n-1} x_n\right)^2,\end{aligned}

then

x_1, x_2, \ldots, x_n

are in

View answer and explanation

Correct option: B

Option B (GP) is correct because the given inequality implies that the numbers must be in a geometric progression.

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

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\frac{3}{4}