Recent questions tagged sequence-series

3 votes
3 answers
2
​​​​​​The sum of the following infinite series is\[2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots\]$11 / 3$$7 ...
1 votes
1 answer
7
8 votes
1 answer
9
A series of natural numbers $F_1, F_2, F_3, F_4, F_5, F_6, F_7, \ldots$ obeys $F_{n+1}=F_n+F_{n-1}$ for all integers $n \geq 2$.If $F_6=37,$ and $F_7=60,$ then what is $F...