Geometric progressions

If a,b ,c,d and p are different real numbers such that :(a2+b2+c2)p2-2(ab+bc+cd)p+(b2+c2+d2)≤0, then show that a,b,c and d are in G.P

2 Answers

62
Lokesh Verma ·

(ap-b)2+(bp-c)2+(cp-d)2≤0

But sum of three squares..

so ap=b, bp=c and cp=d

so they are in GP

1
yagyadutt Mishra ·

@Kajal...nishant did it correctly....

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