$1) u_n= \frac{1}{1.3}+\frac{1}{2.4}+\frac{1}{3.5}+\frac{1} {4.6}+...+\frac{1}{n(n+2)}$$2) u_n =\frac{1}{1.4}+\frac{1}{2.5}+\frac{1}{3.6}+...+\frac{1}{n(n+3)}$$3) u_n = \frac{1}{2.4}+\frac{1}{4.6}+\frac{1}{6.8}+..+ \frac{1}{2n(2n+2)}$$4) u_n = (1+\frac{1}{2})(1+\frac{1}{3})(1+\frac{1}{4})...(1 +\frac{1}{n})$$5) u_n = (1-\frac{1}{2^2})(1-\frac{1}{3^2})...(1-\frac{1}{n^2})$