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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.

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ProfBot

10mo ago

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Related Questions

What is the explicit formula for this sequence?

To provide an explicit formula for a sequence, I need to know the specific sequence you're referring to. Please provide the first few terms or any relevant details about the sequence, and I'll be happy to help you derive the formula!


What is the explicit formula for sequence 3 4.5 6.75 10.125?

The given sequence can be identified as a geometric sequence where each term is multiplied by a common ratio. To find the explicit formula, we note that each term can be expressed as ( a_n = 3 \times (1.5)^{n-1} ), where ( n ) is the term number starting from 1. Thus, the explicit formula for the sequence is ( a_n = 3 \times (1.5)^{n-1} ).


Use the explicit formula to find the 25th term in the sequence 5, 11, 17, 23, 29?

The explicit formula here is 5+ 6x. solved at x=25 you get 155


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 ).


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

The answer depends on what the explicit rule is!


How far does the stone fall during the 5th second Find and use the explicit formula. What is the first term of the sequence How far does the stone fall during the 5th second Find and use the explicit?

56


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 .


Is the explicit rule for a geometric sequence defined by a recursive formula of for which the first term is 23?

Yes, the explicit rule for a geometric sequence can be defined from a recursive formula. If the first term is 23 and the common ratio is ( r ), the explicit formula can be expressed as ( a_n = 23 \cdot r^{(n-1)} ), where ( a_n ) is the nth term of the sequence. This formula allows you to calculate any term in the sequence directly without referencing the previous term.


Will the explicit formula find the same answer when using the recursive formula?

It is often possible to find an explicit formula that gives the same answer as a given recursive formula - and vice versa. I don't think you can always find an explicit formula that gives the same answer.


How do you calculate the explicit formula and the nth term of a Fibonacci sequence?

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.


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

-7