Q. . If x₁,x₂, ………….x_n are n non-zero real numbers such that

(x₁²+x₂²+ …..+x_(n-1)²)(x₂²+x₃²+ …..+x_n²) ≤ (x1,x2+ x2,x3+…….+ xn-1,xn)²,

then x₁,x_{2…………………….} x_n are in

(a) A.P.

(b) G.P.

(c) H.P.

(d) none of these

dear raghu,

the above question can be solved by expanding the terms and then converting it into a perfect square

for simplicity  we can take n=3 and then conclude that it forms GP

hence answer is (B)

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