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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 else can I help you with?
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 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 ).
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
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 work out the nth term of a sequence?
Find the formula of it.
What is the difference between a explicit equation and a recursive equation?
An explicit equation defines a sequence by providing a direct formula to calculate the nth term without needing the previous terms, such as ( a_n = 2n + 3 ). In contrast, a recursive equation defines a sequence by specifying the first term and providing a rule to find subsequent terms based on previous ones, such as ( a_n = a_{n-1} + 5 ) with an initial condition. Essentially, explicit equations allow for direct access to any term, while recursive equations depend on prior terms for computation.
How do you find out the formula for a Quadratic Sequence?
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.
How do you find the perimeter of the nth term in a sequence?
To find the perimeter of the nth term in a sequence, you first need to determine the formula or rule that defines the sequence. Once you have the nth term expressed mathematically, calculate the perimeter by applying the relevant geometric formula based on the shape described by the sequence. For example, if the sequence represents the side lengths of a polygon, sum the lengths of all sides to find the perimeter. Always ensure to substitute the value of n into the formula correctly to obtain the specific term's dimensions.
What is the tenth term of the sequence?
To determine the tenth term of a sequence, I need to know the specific sequence or formula that defines it. Please provide the sequence or the rule governing it, and I will be happy to help you find the tenth term.
What is the 400th term of the sequence 8 20 32 44 56 when using the explicit formula an equals a1 plus n minus 1 asterisk d?
To find the 400th term of the sequence, we first identify the first term ( a_1 = 8 ) and the common difference ( d = 20 - 8 = 12 ). Using the explicit formula ( a_n = a_1 + (n - 1) \cdot d ), we can substitute ( n = 400 ): [ a_{400} = 8 + (400 - 1) \cdot 12 = 8 + 399 \cdot 12 = 8 + 4788 = 4796. ] Thus, the 400th term is 4796.
How do you calculate the sum of first 20 prime number?
You find the first 20 prime numbers and add them together. There is no formula for generating a sequence of prime numbers and so none for the series of their sums.You find the first 20 prime numbers and add them together. There is no formula for generating a sequence of prime numbers and so none for the series of their sums.You find the first 20 prime numbers and add them together. There is no formula for generating a sequence of prime numbers and so none for the series of their sums.You find the first 20 prime numbers and add them together. There is no formula for generating a sequence of prime numbers and so none for the series of their sums.
What is the formula to find the sum of a geometric sequence?
The formula to find the sum of a geometric sequence is adding a + ar + ar2 + ar3 + ar4. The sum, to n terms, is given byS(n) = a*(1 - r^n)/(1 - r) or, equivalently, a*(r^n - 1)/(r - 1)
