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A sequence is a set of quantities arranged in a definite order. –16....1, 1, 2, 3, 5, 8, 13. ce are added, we obtain a series. Sequences and series are used to solve a variety of practical p. quence, arithmetic and geometric. This section will consider arithmetic sequences (also known as arithm.
Arithmetic Sequence: An arithmetic sequence is a sequence in which each term is found by adding a common constant to the term preceding it. This constant is called the common difference , and is represented by the letter d .
An arithmetic progression, or AP, is a sequence where each new term after the first is obtained by adding a constant d, called the common difference, to the preceding term. If the first term of the sequence is a then the arithmetic progression is a, a+d, a+2d, a+3d, ... where the n-th term is a+(n− 1)d. Exercise3
sequence: -1, -3, -5, -7, ... 1.3 Given that the sequence 175, 150, 125, 100, ... is arithmetic, find its common difference. 1.4 Given that the first term of an. arithmetic sequence is 2 and the common difference is 13, find the next three terms of the sequence.
Arithmetic Sequence Definition: Adding/Subtracting to get to the next number. Recursive Equation (Must know the previous term) Explicit Equation (Don’t need to know the previous term)
Arithmetic and Geometric Sequences. A sequence is a list of numbers or objects, called terms, in a certain order. In an arithmetic sequence, the difference between one term and the next is always the same. This difference is called a common difference.
Definition A sequence is simply an ordered list u1, u2, u3,K, un, of numbers (or terms). This is often abbreviated to {}un. For our purposes each term un is usually given in one of two ways: (i) as a function of the preceding term(s), or (ii) as a function of its position in the sequence.
