SMART Board E-Lessons for Algebra 2: Recursive Formulas: Arithmetic Sequences
The recursive formula for an arithmetic sequence is:\(a_1=-8a_n=a_(n-1)+3.What is the 3rd term in the sequence?OA.-5O B. -14OC.-24O D.-2 相关知识点: 试题来源: 解析 a_1=-8 a_n=a_(n-1)+3 n=2then a_2=a_2+3 =a_1+3 =—8+3 a2=—5 n-3 then a_3=a_2+...
Sometimes, sequences build on the number immediately before it. For example, with the sequence 2, 4, 6, 8,..., each term is found by adding two to the previous term. When a sequence is built by adding a constant number to the previous term, that is called an arithmetic sequence.View...
There are three steps to writing the recursive formula for an arithmetic sequence: Find and double-check the common difference (the amount each term increases by) State the first term of the sequence Write the mathematical formula that represents adding the common difference Geometric...
Closed Form Arithmetic Sequence Additionally, we will discover a superb procedure for finding the sum of an Arithmetic and Geometric sequence, using Gauss’s discovery ofreverse-addandmultiply-shift-subtract, respectively. Example Suppose we wanted to find the sum of the following sequence: 1,3,5...
Finally, to find 𝑇, we substitute 𝑛=4 into the formula and use the fact that 𝑇=−4 to get 𝑇=𝑇−4=−4−4=−8. Therefore, the first five terms of this sequence are (8,4,0,−4,−8). Note that this is actually an arithmetic sequence with a...
The "findNthTermArithmetic()" function takes three parameters: x (the first term of the sequence), d (the common difference), and n (the term number to find). The function uses recursion to find the nth term of the arithmetic sequence. If n is 1, it means we have reached the fi...
英文: An optimization method for reasoning results is presented, such as recursive grey fitting model for single sequence and attribute correlativity model for multi-dimension data. 中文: 分别在单序列时建立递进灰拟合模型,在多维数据集时利用属性相关性,对插值结果进行学习优化。 更详细... 英文: Bas...
A recursive algorithm consists of the base case and the general case. The base case ensures the sequence of recursive calls will terminate after a finite number of steps, and the general case continues to call itself as long as the base case is not satisfied. To develop a recursive ...
We have given a sequence {eq}5,\,-1,\,-7,\,-13,\,-19 {/eq} and {eq}f(1)=5 {/eq} and we have to find its recursive formula. In the given sequence... Learn more about this topic: Arithmetic Sequences | Definition, Formula & Examples ...