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what is the recursive formula for this geometric sequence?
What else can I help you with?
What recursive formulas represent the same geometric sequence as the formula?
To represent a geometric sequence recursively, you can use the formula ( a_n = r \cdot a_{n-1} ), where ( r ) is the common ratio and ( a_1 ) is the first term of the sequence. The first term can be defined explicitly, such as ( a_1 = A ), where ( A ) is a constant. This recursive definition effectively captures the relationship between consecutive terms in the sequence.
What describes a recursive sequence A a sequence that has a common difference between terms B a sequence that has a common ratio between terms C a sequence relating a term to one?
A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.
What is the recursive formula for the sequence 8101214?
The sequence 8101214 appears to follow a pattern based on the difference between consecutive terms. The differences between the terms are 2, 2, 2, which indicates a constant difference. Therefore, the recursive formula can be expressed as ( a_n = a_{n-1} + 2 ), with the initial term ( a_1 = 8 ).
Is 0.21525 geometric or arithmetic?
The term "0.21525" itself does not indicate whether it is geometric or arithmetic, as it is simply a numerical value. To determine if a sequence or series is geometric or arithmetic, we need to examine the relationship between its terms. An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio. If you provide a series of terms, I can help identify its nature.
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
What recursive formulas represent the same geometric sequence as the formula?
To represent a geometric sequence recursively, you can use the formula ( a_n = r \cdot a_{n-1} ), where ( r ) is the common ratio and ( a_1 ) is the first term of the sequence. The first term can be defined explicitly, such as ( a_1 = A ), where ( A ) is a constant. This recursive definition effectively captures the relationship between consecutive terms in the sequence.
What is the difference between succeeding terms called?
The difference between succeeding terms in a sequence is called the common difference in an arithmetic sequence, and the common ratio in a geometric sequence.
What describes a recursive sequence A a sequence that has a common difference between terms B a sequence that has a common ratio between terms C a sequence relating a term to one?
A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.
What is the difference between an explicit rule and a recursive rule?
An explicit rule defines the terms of a sequence in terms of some independent parameter. A recursive rule defines them in relation to values of the variable at some earlier stage(s) in the sequence.
What is the recursive formula for the sequence 8101214?
The sequence 8101214 appears to follow a pattern based on the difference between consecutive terms. The differences between the terms are 2, 2, 2, which indicates a constant difference. Therefore, the recursive formula can be expressed as ( a_n = a_{n-1} + 2 ), with the initial term ( a_1 = 8 ).
Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 300,30,3?
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.
Is 0.21525 geometric or arithmetic?
The term "0.21525" itself does not indicate whether it is geometric or arithmetic, as it is simply a numerical value. To determine if a sequence or series is geometric or arithmetic, we need to examine the relationship between its terms. An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio. If you provide a series of terms, I can help identify its nature.
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 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.
What is the difference between an arithmetic and geometric sequence?
An arithmetic sequence is a series of numbers in which each term is obtained by adding a constant value, called the common difference, to the previous term. In contrast, a geometric sequence is formed by multiplying the previous term by a constant value, known as the common ratio. For example, in the arithmetic sequence 2, 5, 8, 11, the common difference is 3, while in the geometric sequence 3, 6, 12, 24, the common ratio is 2. Thus, the primary difference lies in how each term is generated: through addition for arithmetic and multiplication for geometric sequences.
Descending geometric sequence?
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
Is the sequence 2 3 5 8 12 arithmetic or geometric?
Well, honey, neither. That sequence is a hot mess. In an arithmetic sequence, you add the same number each time, and in a geometric sequence, you multiply by the same number each time. This sequence is just doing its own thing, so it's neither arithmetic nor geometric.
