Question 2
What is the sum of the series below up to its 1000th term? $$\frac13+\frac16+\frac16+\frac1{12}+\frac1{10}+\frac1{20}+\frac1{15}+\cdots$$
Pattern convention: alternate reciprocal triangular numbers and half of each preceding term.
Pattern convention: alternate reciprocal triangular numbers and half of each preceding term.