Reciprocal fraction

Algebra Level 3

Consider the sequence \(a_{1}=3\), \(a_{2}\), \(a_{3} , \ldots\), where \[\dfrac{1}{a_{k+1}}=\dfrac{1}{a_{1}}+\dfrac{1}{a_{2}}+\cdots+\dfrac{1}{a_{k}} \text{ for all integers } k \ge 1.\]

Find \(a_{2016}\).

×

Problem Loading...

Note Loading...

Set Loading...