Question 173
a) Calculate the differences: $1-\frac{1}{2}$; $\frac{1}{2}-\frac{1}{3}$; $\frac{1}{3}-\frac{1}{4}$; $\frac{1}{4}-\frac{1}{5}$; $\frac{1}{5}-\frac{1}{6}$
b) Deduct from (a) the sum value: $\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}$
c) Calculate the sum: $\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\cdots+\frac{1}{999000}$
b) Deduct from (a) the sum value: $\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}$
c) Calculate the sum: $\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\cdots+\frac{1}{999000}$