Use the Cauchy inequality to prove that (a) ( r1 +r2 + . . . + rn

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Use the Cauchy inequality to prove that"
(a) ( r1 +r2 + . . . + rn )n ≤ n (r21 + r22 + . . . + r2n for all ri in R and all n ≥ 1.
(b) r1r2 + r1r3 + r2r3 ≤ r21 + r22 + r23 for all r1, r2,and r3 in R.
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