Notes in 01数列

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Published	10/05/2024	一般地，如果一个数列从第2项起，每一项与它的前一项的差等于同一个常数，这个数列就叫做等_____,这个常数叫做等差数列的_____.
Published	10/05/2024	等差数列\(\text { 首项为 } a_{1} \text {, 公差为 } d(d \neq 0) \text { 的数列 } a_{1}, a_{1}+d, a_{1}+2 d, \cdots, a_{1}+(n-1) d, \cdots \text {. }\)1️⃣通项公式\(a_{n}=\…
Published	10/05/2024	如果数列 \(\left\{a_n\right\}\) 满足\[a_n=\text{_____},\]则称该数列为等比数列, 其中 \(q\) 称作_____.等比数列的递推公式为 \(\frac{a_n}{a_{n-1}}=\text{_____}\).
Published	10/05/2024	等比数列\(\text {首项为 } a_{1} \text {, 公比为 } r(r \neq 0) \text {的数列 } a_{1}, a_{1} r, a_{1} r^{2}, \cdots, a_{1} r^{n-1}, \cdots \text {. }\)1️⃣通项公式\(a_{n}=\…
Published	10/05/2024	自然数求和\(\begin{aligned}\displaystyle\sum_{k=1}^{n} k=\end{aligned}\)________.
Published	10/05/2024	平方数列的前n项和\(\begin{aligned}\displaystyle\sum_{k=1}^{n} k^{2}=\end{aligned}\)________.
Published	10/05/2024	立方数列的前n项和\(\begin{aligned}\sum_{k=1}^n k^3=\end{aligned}\)_____.
Published	10/05/2024	连乘积的倒数求和\(\begin{aligned}\displaystyle\sum_{k=1}^{n} \frac{1}{k(k+1)}=\end{aligned}\)________.
Published	10/05/2024	连乘积求和\(\begin{aligned}\sum_{k=1}^n{k\left( k+1 \right)}\end{aligned}\)=________.
Published	10/05/2024	数列公式表格 \(\begin{aligned}\displaystyle\sum_{k=1}^{n} k=1+2+3+\cdots+n=\end{aligned}\)____ \(\begin{aligned}\displaystyle\sum_{k=1}^{n} …
Published	10/05/2024	数列章节导图
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