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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.
Find the common ratio of the following geometric sequence 2.512 11.304 50.868 228.906 1030.077?
Formula for the nth term of general geometric sequence tn = t1 x r(n - 1) For n = 2, we have: t2 = t1 x r(2 - 1) t2 = t1r substitute 11.304 for t2, and 2.512 for t1 into the formula; 11.304 = 2.512r r = 4.5 Check:
In a geometric sequence the ratio between consecutive terms is .?
Well, well, well, look who's getting fancy with geometric sequences! When the ratio between consecutive terms is "r," each term is found by multiplying the previous term by "r." So, in simpler terms, if you have a sequence like 2, 4, 8, 16, the ratio between consecutive terms is 2. Math can be sassy too, honey!
Math Formula for height?
The formula for height depends on the context. There is no simple formula for the height of a person. Formulae for the height of a geometric shape depends on what information about the shape is given.
What is the nth term formula of 100 96 92 and 88?
Since the difference of any two consecutive numbers (the common difference) is 4 (a constant), then this sequence is an arithmetic sequence. Let's take a look at this sequence: t1 = 100 t2 = t1 - 4 = 100 - 4 = 96 t3 = t2 - 4 = 96 - 4 = 92 t4 = t3 - 4 = 92 - 4 = 88 Thus, the formulas t1 = 100 and tn = t(n-1) - 4 gives a recursive definition for the sequence 100, 96, 92, 88.
What is the difference between a geometric sequence and a recursive formula?
what is the recursive formula for this geometric sequence?
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.
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.
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 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.
How id recursive sequence different from an arithmetic or geometric sequence?
A recursive sequence defines each term based on one or more preceding terms, often using a specific formula or rule, while arithmetic and geometric sequences rely on a consistent difference or ratio between consecutive terms, respectively. In an arithmetic sequence, each term is generated by adding a fixed constant to the previous term, whereas in a geometric sequence, each term is produced by multiplying the previous term by a constant factor. Recursive sequences can take various forms and do not necessarily follow a linear or exponential pattern. Thus, while all three types of sequences generate ordered sets of numbers, their construction and relationships between terms differ fundamentally.
How do you work out the 20th term of a sequence?
To find the 20th term of a sequence, first identify the pattern or formula that defines the sequence. This could be an arithmetic sequence, where each term increases by a constant difference, or a geometric sequence, where each term is multiplied by a constant factor. Once the formula is established, substitute 20 into the formula to calculate the 20th term. If the sequence is defined recursively, apply the recursive relation to compute the 20th term based on the previous terms.
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 is the geometric sequence formula?
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
Could you determine the recursive rule or formula if you only knew the first two terms in a sequence?
In general, it is not possible to uniquely determine a recursive rule or formula with only the first two terms of a sequence. While the initial terms can suggest a pattern, multiple recursive sequences can produce the same first two terms. To accurately derive a recursive rule, additional terms are typically needed to identify the underlying pattern or relationship governing the sequence.
What recursive formulas represents the same arithmetic sequence as the explicit formula an 5 n - 12?
-7
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.
