Coleman Knight

11/30/2023 · Senior High School

1. Ispišite prvih nekoliko članova niza zadanog formulom za opći član. \( \begin{array}{lll}\begin{array}{lll}\text { a) } a_{n}=n^{2}-1 & \text { b) } a_{n}=(-1)^{n} \cdot n \\ \text { d) } a_{n}=\frac{n}{2+n} & \text { e) } a_{n}=\frac{-1}{2^{n}} & \text { f) } a_{n}=\frac{n-1}{\sqrt{n}} \\ \text { Odredite moguću formulu za opći član niza kojemu je poznato nekoliko prvih članova. } \\ \begin{array}{lll}\text { a) } 2,5,10,17,26 \ldots & \text { b) }-1,2,-4,8,-16 \ldots & \text { c) } \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6} \ldots\end{array} \\ \text { d) } \frac{1}{3},-\frac{1}{9}, \frac{1}{27},-\frac{1}{81}, \frac{1}{243} \ldots & \text { e) } 1, \sqrt{2}, \sqrt[3]{3}, \sqrt[4]{4}, \sqrt[5]{5} \ldots & \text { f) } 2,2,1, \frac{1}{3}, \frac{1}{12} \ldots\end{array}\end{array} ⿴ \begin{array}{l}\text { (a) }\end{array} \)