Search results
A sequence is periodic if the terms repeat in a cycle; Q + = Q for some k, which is known as the order of the sequence. e.g. -3, 1, -3, 1, -3, … is periodic with order 2. An arithmetic sequence is one where there is a common difference between each term.
The Sequences and Series Cheat Sheet is a document that provides a concise summary of key concepts, formulas, and techniques related to sequences and series in mathematics.
n!1. techniques for taking limits that you learned in Calc 1 and this class could come into play here so you might want to brush up on some examples from the lecture notes and homework. Series. So, in a sequence, we had a list of numbers. 1; 2; 3; 4; 5; 6; In a series, we have something similar.
An explicit formula for this arithmetic sequence is given by an = a + (n −1)b, n ∈ N, a recursive formula is given by a1 = a and an = an−1 + b for n > 1. Here are some examples of arithmetic sequences, see if you can determine a and b in each case: 1, 2, 3, 4, 5, ... 2, 4, 6, 8, 10, ... 1, 4, 7, 10, 13, ...
Linear and quadratic sequences are particular types of sequence covered their own notes. Other sequences include geometric and Fibonacci sequences, which are looked at in more detail below. Other sequences include cube numbers (cubic sequences) and triangular numbers.
Arithmetic Sequences. Find the next three terms of each arithmetic sequence. 15,11,7,3,−1,... −21,−14,−7,0,... 3,6,9,12,15,... 4,8,12,16,20,... Given the first term and the common difference of an arithmetic sequence find the first five terms and the explicit formula. 5) 1 = 24,
Write the recursive formula for each sequence. 35) 2, 4, 7, 11 , 16 , ... a n = a n − 1 + n a 1 = 2 36) 15 , 215 , 415 , 615 , 815 , ... a n = a n − 1 + 200 a 1 = 15-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com. Title: Introduction to Sequences
