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Explicit formula is used to find the nth term of the sequence using one or more preceding terms of the sequence. Recursive and Explicit Formulas – Example Problems. Example 1: First term of the sequence a1 = 28, common difference d = 14, find the recursive formula of the arithmetic sequence. Solution: First term a1 = 28, common difference d = 14.

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Learn how to find recursive formulas for arithmetic sequences. For example, find the recursive formula of 3, 5, 7,...

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Recursive Formula. For a sequence a 1, a 2, a 3, . . . , a n, . . . a recursive formula is a formula that requires the computation of all previous terms in order to find the value of a n. Note: Recursion is an example of an iterative procedure.

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Comparative look at explicit vs recursive methods of defining sequences. A sequence is an ordered list and this explores alternative ways to describe it. A recursive definition gives you the first ...

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Page 1 of 2 682 Chapter 11 Sequences and Series Writing a Recursive Rule for an Arithmetic Sequence Write the indicated rule for the arithmetic sequence with a 1= 4 and d = 3. a.an explicit rule b.a recursive rule SOLUTION a.From Lesson 11.2 you know that an explicit rule for the nth term of the arithmetic sequence is:

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Use the explicit formula and let n = 50. This will give us Notice how much easier it is to work with the explicit formula than with the recursive formula to find a particular term in a sequence. What happens if we know a particular term and the common difference, but not the entire sequence? Let’s see in the next example.

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Explicit Formula 'Dad, what is an explicit formula?' Like many other people in the world, math is my daughter's weakness, and it takes her several attempts, each with a changed delivery method ...

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For example, when writing the general explicit formula, n is the variable and does not take on a value. But if you want to find the 12 th term, then n does take on a value and it would be 12. Your formulas should be simplified if possible, but be very careful when working with exponential expressions.

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Solve problems such as: The first four terms in an arithmetic sequence are 12, 5, -2, and -9. Find an explicit formula for the sequence.

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Sequences are ordered lists of numbers (called "terms"), like 2,5,8. Some sequences follow a specific pattern that can be used to extend them indefinitely. For example, 2,5,8 follows the pattern "add 3," and now we can continue the sequence. Sequences can have formulas that tell us how to find any term in the sequence. For example, 2,5,8,... can be represented by the formula 2+...