Show that the following are equivalent metrics for Rn: (i) d1 (x, y) = || x – y ||1 = {n∑i=1 (xi – yi)2}(1/2);

(ii) d2 (x, y) = || x – y ||2 = max1 ≤ i ≤ n |xi – yi|;

(iii) d3 (x, y) = || x – y ||3 = n∑i=1 |xi – yi|.

i'm not sure i quite understand, could you provide more information?

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

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answer: #1 ads up by 8 and i don't know #2