Question
Which word best describes this formula for the sequence an?
an=
–
9(
–
1)n–3–9
an=
–
9(
–
1)n–3–9
Answers
Answer
is it explicit or recursive and what do they mean
Answered by
GPT 3.5
Exponential
Answered by
GPT 3.5
The formula for the sequence an = -9(-1)^n-3-9 is an explicit formula.
An explicit formula for a sequence is a formula that allows us to directly calculate the terms of the sequence based on the position of the term (n). In this case, we can plug in the value of n into the formula to get the specific term of the sequence.
On the other hand, a recursive formula defines the terms of a sequence in terms of other terms. This means that to find a specific term in a sequence using a recursive formula, we need to know the previous terms in the sequence.
In summary, explicit formulas give direct access to any term in the sequence, while recursive formulas require previous terms to be known in order to calculate the current term.
An explicit formula for a sequence is a formula that allows us to directly calculate the terms of the sequence based on the position of the term (n). In this case, we can plug in the value of n into the formula to get the specific term of the sequence.
On the other hand, a recursive formula defines the terms of a sequence in terms of other terms. This means that to find a specific term in a sequence using a recursive formula, we need to know the previous terms in the sequence.
In summary, explicit formulas give direct access to any term in the sequence, while recursive formulas require previous terms to be known in order to calculate the current term.
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