The explicit rule provides a direct formula to calculate any term in a sequence without needing to know the previous terms, allowing for quicker evaluations and a clearer understanding of the sequence's behavior. In contrast, the recursive rule defines each term based on the preceding term, which can be less efficient for finding distant terms and may obscure the overall pattern. This makes the explicit rule particularly useful for analyzing and predicting the long-term behavior of sequences.
An explicit rule is a rule that you can solve without needing the previous term. For example to find the value of y, you don't need to know what x is. y = 4 + 4 vs. y = 2x + 4
Multiply each term by -3 and so the next term will be 243
No, the math term ratio doesn't mean multiply.
The sequence 3, 7, 11, 15 is an arithmetic sequence where each term increases by 4. The recursive rule can be expressed as ( a_n = a_{n-1} + 4 ) with ( a_1 = 3 ). The explicit rule for the nth term is ( a_n = 3 + 4(n - 1) ) or simplified, ( a_n = 4n - 1 ).
The answer depends on what the explicit rule is!
An explicit rule is a rule that you can solve without needing the previous term. For example to find the value of y, you don't need to know what x is. y = 4 + 4 vs. y = 2x + 4
Multiply each term by -3 and so the next term will be 243
Good Question! After 6 years of math classes in college, and 30+ years of teaching (during which I took many summer classes) I've never seen an explicit formula for the nth term of the Fibonacci sequence. Study more math and maybe you can discover the explicit formula that you want.
No, the math term ratio doesn't mean multiply.
A pattern that not only continue the pattern but find the value for the given term in the pattern.
it is a math term
the mean
its the answer.
mean: average
No, it means average.
AVERAGE