生成数列
Generating Sequences
根据项与项之间的规则(如“每次加3”)或项的位置与项的数值之间的规则(如“2n + 1”)生成数列的项,并判断数列是等差数列、等比数列,还是其他类型。
Generate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is arithmetic, geometric, or neither
学习证据 / Evidence
- 根据涉及加法、减法或乘法的项间规则,继续写出数列的后续项。
- 根据形如 3n − 2 的位置与项的关系式,生成数列的前五项。
- 将数列分类为等差数列(公差恒定)、等比数列(公比恒定)或其他类型。
- Continue a sequence given a term-to-term rule involving addition, subtraction, or multiplication
- Generate the first five terms from a position-to-term formula such as 3n − 2
- Classify sequences as arithmetic (constant difference), geometric (constant ratio), or other
评估问题 / Assessment
{{name}}能否算出像 5, 8, 11, 14……这样的数列接下来的几项,并说明它的规则是“每次加一个固定的数”还是其他规则?
Can {{name}} work out the next few terms of a sequence like 5, 8, 11, 14… and explain whether the rule is "add a fixed number each time" or something else?