Question

E= (1/3-1).(1/6-1).(1/10-1)...(1/45-1)

Answer 1

\(E=\left(\dfrac{1}{3}-1\right)\cdot\left(\dfrac{1}{6}-1\right)\cdot\left(\dfrac{1}{10}-1\right)\cdot...\cdot\left(\dfrac{1}{45}-1\right)\)

\(\text{E=}\left(\dfrac{1}{3+6+10+...+45}\cdot1\right)\)

\(\text{E = }\left(\dfrac{1}{\left(45-3\right)\div2+1}\right)\)

\(\text{E = }\dfrac{1}{22}\)