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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 ).
What else can I help you with?
What is the difference between a geometric sequence and a recursive formula?
what is the recursive formula for this geometric sequence?
What is An arithmetic sequence has this recursive formula What is the explicit formula for this sequence?
An arithmetic sequence can be defined by a recursive formula of the form ( a_n = a_{n-1} + d ), where ( d ) is the common difference and ( a_1 ) is the first term. The explicit formula for this sequence is given by ( a_n = a_1 + (n-1)d ). Here, ( n ) represents the term number in the sequence. This formula allows you to calculate any term directly without needing to reference the previous 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 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 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 difference between a geometric sequence and a recursive formula?
what is the recursive formula for this geometric sequence?
What is An arithmetic sequence has this recursive formula What is the explicit formula for this sequence?
An arithmetic sequence can be defined by a recursive formula of the form ( a_n = a_{n-1} + d ), where ( d ) is the common difference and ( a_1 ) is the first term. The explicit formula for this sequence is given by ( a_n = a_1 + (n-1)d ). Here, ( n ) represents the term number in the sequence. This formula allows you to calculate any term directly without needing to reference the previous term.
What recursive formulas represents the same arithmetic sequence as the explicit formula an 5 n - 12?
-7
What is the recursive formula for this geometric sequence 4-1236-108...?
4, -1236, -108 is not a geometric system.
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 formula for 2 1 3 4 7 11?
It look like a Fibonacci sequence seeded by t1 = 2 and t2 = 1. After that the recursive formula is simply tn+1 = tn-1 + tn.
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.
A recursive sequence has a common ratio?
true
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 recursive formula for A B C?
The recursive formula for a sequence typically defines each term based on previous terms. For a sequence denoted as ( A(n) ), ( B(n) ), and ( C(n) ), a common recursive approach might be: ( A(n) = A(n-1) + B(n-1) ) ( B(n) = B(n-1) + C(n-1) ) ( C(n) = C(n-1) + A(n-1) ) These formulas assume initial values are provided for ( A(0) ), ( B(0) ), and ( C(0) ). Adjustments can be made based on the specific context or properties of the sequence.
How do you find the formula for the nth term in a sequence?
To find the formula for the nth term in a sequence, start by identifying the pattern or rule governing the sequence by examining the differences between consecutive terms. If the differences are constant, the sequence is linear; if the second differences are constant, it may be quadratic. Use techniques like polynomial fitting or recursive relationships to derive a general formula. Finally, verify your formula by substituting values of n to ensure it produces the correct terms in the sequence.
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.
