3. Let x1,…,xn denote a sequence of numbers, y1,…,yn denote another sequence of numbers, and a,b, and c denote three
Posted: Thu Jul 14, 2022 4:51 pm
3. Let x1,…,xn denote a sequence of numbers, y1,…,yn denote another sequence of numbers, and a,b, and c denote three constants. Show that: (a) i=1∑naxi=ai=1∑nxi. (b) i=1∑na=na (c) i=1∑n(a+bxi+cyi)2=na2+b2i=1∑nxi2+c2i=1∑nyi2+2abi=1∑nxi+2aci=1∑nyi+2bci=1∑nxiyi