query: How to find the total number of terms and the sum in a not explicit geometric series?
positive_passages.docid: 14306
positive_passages.text: What is the formula for $\frac{1}{1\cdot 2}+\frac{1}{2\cdot 3}+\frac{1}{3\cdot 4}+\cdots +\frac{1}{n(n+1)}$
negative_passages.docid: 119552
negative_passages.text: Summing Finitely Many Terms of Harmonic Series: $\sum_{k=a}^{b} \frac{1}{k}$
negative_passages.docid: 115170
negative_passages.text: What is the formula for this numerical series?
negative_passages.docid: 80201
negative_passages.text: Geometric series sum $\sum_2^\infty e^{3-2n}$
negative_passages.docid: 73258
negative_passages.text: Power series summation
negative_passages.docid: 151189
negative_passages.text: calculate the sum of an infinite series
negative_passages.docid: 148143
negative_passages.text: Find the sum to n terms as well as the sum to infinity of the series:
negative_passages.docid: 150928
negative_passages.text: Summation of a trigonometric series - $\frac{\sin n}{n}$
negative_passages.docid: 145322
negative_passages.text: Sum of a Hyper-geometric series. (NBHM 2011)
negative_passages.docid: 20592
negative_passages.text: How to find the nth term of tribonacci series
negative_passages.docid: 18814
negative_passages.text: Sum of the series $1+\frac{1\cdot 3}{6}+\frac{1\cdot3\cdot5}{6\cdot8}+\cdots$
negative_passages.docid: 112036
negative_passages.text: sum of series $\frac{n}{1\cdot 2 \cdot 3}+\frac{n-1}{2\cdot 3\cdot 4}+\frac{n-2}{3\cdot 4 \cdot 5}+\cdots \cdots n$ terms
negative_passages.docid: 32637
negative_passages.text: What is the sum of this series: $\displaystyle\sum_{n=0}^{\infty} \dfrac{a^n}{(3n)!}$
negative_passages.docid: 134633
negative_passages.text: How to sum this series for $\pi/2$ directly?
negative_passages.docid: 47200
negative_passages.text: Geometric series for two-point function
negative_passages.docid: 58262
negative_passages.text: Find the sum of the series $1+\frac{1}{3}\cdot\frac{1}{4}+\frac{1}{5}\cdot\frac{1}{4^2}+\frac{1}{7}\cdot\frac{1}{4^3}+\cdots$
negative_passages.docid: 4253
negative_passages.text: How to calculate: $\sum_{n=1}^{\infty} n a^n$