statement 1: Let p1,p2,...,pn and x be ...

statement 1: Let `p_1,p_2,...,p_n and x ` be distinct real number such that `(sum_(r=1)^(n-1)p_r^2)x^2+2(sum_(r=1)^(n-1)p_r p_(r+1))x+sum_(r=2)^n p_r^2 lt=0` then `p_1,p_2,...,p_n` are in G.P. and when `a_1^2+a_2^2+a_3^2+...+a_n^2=0,a_1=a_2=a_3=...=a_n=0` Statement 2 : If `p_2/p_1=p_3/p_2=....=p_n/p_(n-1),` then `p_1,p_2,...,p_n` are in G.P.

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