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You need to know two numbers to completely describe the geometric sequence: the starting number, and the ratio between each number and the previous one.
When you use recursion, you always need a "base case", otherwise, the recursion will repeat without end.
In words, if "n" is 1, the result is the starting term. Otherwise, it is the ratio times the "n-1"th term.
The following version is appropriate for a programming language (written here in pseudocode, i.e., not for a specific language):
function geometric(starting_number, ratio, term)
if term = 1:
result = starting_number
else:
result = ratio * geometric(starting_number, ratio, term - 1)
What else can I help you with?
A certain arithmetic sequence has the recursive formula If the common difference between the terms of the sequence is -11 what term follows the term that has the value 11?
In this case, 22 would have the value of 11.
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 .
In the geometric sequence 4,12,36,....which term is 8748?
2946
What is the formula for the sequence 3 6 12 24 48 96 192 384?
previous * 2 Since each term after the first is the product of the preceding term and 2 (a constant which can be found by dividing any term by its predecessor and is called the common ratio, r), this is a geometric sequence. In general, if the nth term of a geometric sequence is represented by an, then an = a1rn-1 In our case, a = 3 and r = 2, so the formula for the sequence becomes, an = 3 x 2n-1
What is the next term in the geometric sequence 4-1236?
1240
A certain arithmetic sequence has the recursive formula If the common difference between the terms of the sequence is -11 what term follows the term that has the value 11?
In this case, 22 would have the value of 11.
Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?
Yes, that's what a geometric sequence is about.
What is the form of a sequence where you get one term by doing something to the previous term?
Recursive Form
What is the recursive formula for 1 4 13 40 121?
The sequence 1, 4, 13, 40, 121 can be described by a recursive formula. The recursive relationship can be expressed as ( a_n = 3a_{n-1} + 1 ) for ( n \geq 2 ), with the initial condition ( a_1 = 1 ). This means each term is generated by multiplying the previous term by 3 and then adding 1.
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 .
In the geometric sequence 4,12,36,....which term is 8748?
2946
What is the formula for the sequence 3 6 12 24 48 96 192 384?
previous * 2 Since each term after the first is the product of the preceding term and 2 (a constant which can be found by dividing any term by its predecessor and is called the common ratio, r), this is a geometric sequence. In general, if the nth term of a geometric sequence is represented by an, then an = a1rn-1 In our case, a = 3 and r = 2, so the formula for the sequence becomes, an = 3 x 2n-1
When In a geometric sequence the term an plus 1 can be smaller than the term a?
Yes, it can.
How is the value of any term calculated if the position of term is known?
A sequence usually has a position-to-value function. Alternatively, it can be derived from the recursive relationship that defines the sequence.
What is the next term in the geometric sequence 4-1236?
1240
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 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.
