what is the recursive formula for this geometric sequence?
A recursive formula for the nth term of a geometric sequence defines each term based on the previous term. It can be expressed as ( a_n = r \cdot a_{n-1} ), where ( a_n ) is the nth term, ( a_{n-1} ) is the previous term, and ( r ) is the common ratio. Additionally, you need an initial term ( a_1 ) to start the sequence, such as ( a_1 = a ), where ( a ) is the first term.
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.
To define a recursive function for the sequence 516273849, we first identify the pattern or rule governing the sequence. However, the sequence does not exhibit a clear arithmetic or geometric progression, making it challenging to express as a simple recursive function without additional context or rules. If it's meant to be a specific pattern or derived from a particular mathematical operation, please provide more details for a precise recursive expression. Otherwise, we might need to treat each term as an individual case or define it based on its position.
Yes, that's what a geometric sequence is about.
what is the recursive formula for this geometric sequence?
4, -1236, -108 is not a geometric system.
A recursive formula for the nth term of a geometric sequence defines each term based on the previous term. It can be expressed as ( a_n = r \cdot a_{n-1} ), where ( a_n ) is the nth term, ( a_{n-1} ) is the previous term, and ( r ) is the common ratio. Additionally, you need an initial term ( a_1 ) to start the sequence, such as ( a_1 = a ), where ( a ) is the first term.
-7
An example of an infinite geometric sequence is 3, 5, 7, 9, ..., the three dots represent that the number goes on forever.
In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.
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.
The number 35917 does not inherently represent a recursive pattern, as it is simply a five-digit integer without any obvious mathematical sequence or repetition. A recursive pattern typically involves a sequence where each element is defined based on previous elements, such as in the Fibonacci sequence. If you can provide more context or specify what kind of recursive pattern you are referring to, I could give a more tailored answer.
arithmetic sequence * * * * * A recursive formula can produce arithmetic, geometric or other sequences. For example, for n = 1, 2, 3, ...: u0 = 2, un = un-1 + 5 is an arithmetic sequence. u0 = 2, un = un-1 * 5 is a geometric sequence. u0 = 0, un = un-1 + n is the sequence of triangular numbers. u0 = 0, un = un-1 + n(n+1)/2 is the sequence of perfect squares. u0 = 1, u1 = 1, un+1 = un-1 + un is the Fibonacci sequence.
To define a recursive function for the sequence 516273849, we first identify the pattern or rule governing the sequence. However, the sequence does not exhibit a clear arithmetic or geometric progression, making it challenging to express as a simple recursive function without additional context or rules. If it's meant to be a specific pattern or derived from a particular mathematical operation, please provide more details for a precise recursive expression. Otherwise, we might need to treat each term as an individual case or define it based on its position.
If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.
No.