Question 1
Evaluate:
(a) $\frac1{5\times8}+\frac1{8\times11}+\frac1{11\times14}+\cdots+\frac1{98\times101}$.
(b) $\frac12-\frac5{12}+\frac7{24}-\frac9{40}+\frac{11}{60}-\frac{13}{84}+\frac{15}{112}-\frac{17}{144}$.
Answer entry: (a);(b), using simplified fractions a/b, separated by semicolons.
**Editorial input note:** Use no spaces before or after semicolons.
(a) $\frac1{5\times8}+\frac1{8\times11}+\frac1{11\times14}+\cdots+\frac1{98\times101}$.
(b) $\frac12-\frac5{12}+\frac7{24}-\frac9{40}+\frac{11}{60}-\frac{13}{84}+\frac{15}{112}-\frac{17}{144}$.
Answer entry: (a);(b), using simplified fractions a/b, separated by semicolons.
**Editorial input note:** Use no spaces before or after semicolons.