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What is the difference between a geometric sequence and a recursive formula?

what is the recursive formula for this geometric sequence?


What are recursive formulas for the nth term 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.


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 recursive function for the sequence 516273849?

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.


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.

Related Questions

What is the difference between a geometric sequence and a recursive formula?

what is the recursive formula for this geometric sequence?


What is the recursive formula for this geometric sequence 4-1236-108...?

4, -1236, -108 is not a geometric system.


What are recursive formulas for the nth term 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.


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

-7


What is infinite geometric sequence?

An example of an infinite geometric sequence is 3, 5, 7, 9, ..., the three dots represent that the number goes on forever.


What is the difference between an arithmetic sequence and a geometric sequence?

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.


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.


Is 35917 a recursive pattern?

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.


Can a recursive formula produce an arithmetic or geometric sequence?

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.


What is the recursive function for the sequence 516273849?

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.


Which of the following recursive formulas represents the same geometric sequence as the formula an 2 n - 1?

If you want to ask questions about the "following", then I suggest that you make sure that there is something that is following.


Is the sum of two geometric sequence a geometric sequence?

No.