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The explicit formula for an arithmetic sequence is given by an = a1 + (n-1)d, where a1 is the first term and d is the common difference. In this case, the first term a1 is 16, and the common difference d is 4. Therefore, the explicit formula for the arithmetic sequence is an = 16 + 4(n-1) = 4n + 12.

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8mo ago

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Related Questions

What is the Th term of the arithmetic sequence given by the explicit rule?

The answer depends on what the explicit rule is!


What recursive formulas represents the same arithmetic sequence as the explicit formula an 5 n - 12?

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What is the common difference between recursive and explicit arithmetic equations?

The common difference between recursive and explicit arithmetic equations lies in their formulation. A recursive equation defines each term based on the previous term(s), establishing a relationship that builds upon prior values. In contrast, an explicit equation provides a direct formula to calculate any term in the sequence without referencing previous terms. While both methods describe the same arithmetic sequence, they approach it from different perspectives.


Find the explicit formula for the sequence?

The explicit formula for a sequence is a formula that allows you to find the nth term of the sequence directly without having to find all the preceding terms. To find the explicit formula for a sequence, you need to identify the pattern or rule that governs the sequence. This can involve looking at the differences between consecutive terms, the ratios of consecutive terms, or any other mathematical relationship that exists within the sequence. Once you have identified the pattern, you can use it to create a formula that will generate any term in the sequence based on its position (n) in the sequence.


What is the simple formula corresponding to the explicit formula if the first term of the sequence is -10 and the difference between terms in the sequence is 3?

Assuming each term is 3 MORE than the previous term t(n) = -13 + 3*n where n = 1, 2, 3, ...


What type of graph represents the sequence given by the explicit formula an 5 n - 12?

-7


What is the 9th term in the geometric sequence described by this explicit formula?

In order to answer the question is is necessary to know what the explicit formula was. But, since you have not bothered to provide that information, the answer is .


What is the formula for the following arithmetic sequence?

12, 6, 0, -6, ...


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What are the arithmetic operations and corresponding keyboard signs used in formula?

* is times / is divide + is plus - is minus


What is the explicit formula for the sequence 3 1-1-3-5?

The sequence you've provided seems to be 3, 1, -1, -3, -5. To find the explicit formula for this sequence, we can observe that it starts at 3 and decreases by 2 for each subsequent term. The explicit formula can be expressed as ( a_n = 3 - 2(n-1) ) for ( n \geq 1 ). Simplifying this gives ( a_n = 5 - 2n ).


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Good Question! After 6 years of math classes in college, and 30+ years of teaching (during which I took many summer classes) I've never seen an explicit formula for the nth term of the Fibonacci sequence. Study more math and maybe you can discover the explicit formula that you want.