![]() an 82(n1) a n 8 - 2 ( n - 1) Simplify each term. an a1 d(n1) a n a 1 d ( n - 1) Substitute in the values of a1 8 a 1 8 and d 2 d - 2. Assume the first term is \(a_1\) and the last term is \(a_k\). Arithmetic Sequence: d 2 d - 2 This is the formula of an arithmetic sequence. Create a formula for finding the number of terms a finite arithmetic sequence when given the first and the last term of the sequence.Find the number of terms in the finite arithmetic sequence: \(80, 69, 58, …, −52\) Some sequences have a finite number of terms.Find the number of terms in the finite arithmetic sequence: \(3, 17, 31, … ,143\) Explain how the formula for the general term given in this section: \(a_n = d \cdot n a_0\) is equivalent to the following formula: \(a_n = a_1 d(n − 1)\).The arithmetic sequence has common difference \(d = 3.6\) and fifth term \(a_5 = 10.2\). ![]() The arithmetic sequence has common difference \(d = −2\) and third term \(a_3 = 15\).If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence. For instance, you want to find the 32nd term of a sequence. Definition and Basic Examples of Arithmetic Sequence An arithmetic sequence is a list of numbers with a definite pattern. Let’s have an example to help you understand the concept better. As long as you have these values, you can come up with the whole sequence. The arithmetic sequence has first term \(a_1 = 6\) and third term \(a_3 = 24\). An arithmetic sequence is uniquely defined by the first term and the common difference.The arithmetic sequence has common difference d 3.6 and fifth term a5 10.2. The arithmetic sequence has common difference d 2 and third term a3 15. ![]() The arithmetic sequence has first term a1 6 and third term a3 24. ![]()
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