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Two sequences of positive numbers, p0, p1,... and q0, q1,... such that p0 > q0; p_(n+1)= (1/2)(pn+ qn), sqrt(pnqn)=c, n=0,1,2...?
c is a positive constant. Prove
pn > p_(n+1) > c > q_(n+1) > qn, n =0,1,2,...
(All numbers after p and q are subscripts).
Mathematics6 years agoShow directly that if x^2 is even, then x must be even.?
6 AnswersMathematics6 years ago