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How do you calculate the explicit formula and the nth term of the Fibonacci sequence?
(1/sq rt 5)((1+sq rt 5)/2)n - (1/sq rt 5)((1-sq rt 5)/2)n
This is based on the golden ratio (1+sq rt 5)/2) because the ratio of 2 Fibonacci terms approaches the golden ratio as the 2 terms used get larger. IE the ratio ot the 10th term to the 9th term is 55/34 = 1.61765 and the golden ratio is approx. 1.61803.
When using this formula if your calculator does not round, you will round to get the appropriate Fibonacci number.
What else can I help you with?
What is the explicit formula for the sequence 32-4354-65?
The simplest formula isUn = (-8611*n^2 + 34477*n - 25082)/2 for n = 1, 2, 3.
What is the formula to calculate the period of a wave?
you find the formula... then you calculate it. Its that simple.
What is the formula used to calculate slope?
the formula used to calculate a slope is: m=y2-y1/x2-x1
How do you find the nth term of something?
That depends what information you are given. For example, if you are given the formula for the nth term, you can calculate it directly - substituting "n" with the number.
How do you find the explicit formula to the sequence 2 12 32 62?
There are infinitely many polynomials of order 4 that will give these as the first four numbers and any one of these could be "the" explicit formula. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one. For example, t(n) = (-17*n^4 + 170*n^3 - 575*n^2 + 830*n - 400)/4 for n = 1, 2, 3, ... The Simplest, though is t(n) = 5*n^2 - 5*n + 2 for n = 1, 2, 3, ...
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 is the 18th Fibonacci number?
the 18th of Fibonacci number is 2584.
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.
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!
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 Th term of the arithmetic sequence given by the explicit rule?
The answer depends on what the explicit rule is!
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 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} ).
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 ).
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 recursive formulas represents the same arithmetic sequence as the explicit formula an 5 n - 12?
-7
