Question 88
Let
$$R=3\times9+4\times10+5\times11+\cdots+2003\times2009,$$
$$S=1\times11+2\times12+3\times13+\cdots+2001\times2011.$$
(a) Which is greater, $R$ or $S$?
(b) Calculate the difference between the greater and the smaller.
$$R=3\times9+4\times10+5\times11+\cdots+2003\times2009,$$
$$S=1\times11+2\times12+3\times13+\cdots+2001\times2011.$$
(a) Which is greater, $R$ or $S$?
(b) Calculate the difference between the greater and the smaller.