How do you write a recursive formula
1 answer:
You need to show how a term of formula is based on a previous term.
For example, let's say you have the sequence 3, 6, 9, 12, ...
(multiples of 3).
As a regular function, you can have y = 3x, for the domain of all integers greater than 0. Since the domain is 1, 2, 3, 4, ..., when you multiply those numbers by 3, to get y, you generate the sequence.
To define the sequence recursively, you must base each new number on the previous number.
Start by stating the first term.
a1 = 3
If you look at the sequence, 3, 6, 9, ..., you see it has a constant difference, and it is an arithmetic sequence, so to generate a term, you need to add 3 to the previous term.
Once we defined the first term to be 3, the next term is a2 = 3 + 3 = 6
Then a3 = 6 + 3 = 9, etc.
To define the sequence recursively, just generalize the addition of 3 to a term to get the next term.
For example, let's say you have the sequence 3, 6, 9, 12, ...
(multiples of 3).
As a regular function, you can have y = 3x, for the domain of all integers greater than 0. Since the domain is 1, 2, 3, 4, ..., when you multiply those numbers by 3, to get y, you generate the sequence.
To define the sequence recursively, you must base each new number on the previous number.
Start by stating the first term.
a1 = 3
If you look at the sequence, 3, 6, 9, ..., you see it has a constant difference, and it is an arithmetic sequence, so to generate a term, you need to add 3 to the previous term.
Once we defined the first term to be 3, the next term is a2 = 3 + 3 = 6
Then a3 = 6 + 3 = 9, etc.
To define the sequence recursively, just generalize the addition of 3 to a term to get the next term.
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Answer:
A box of oat cereal cost lees than a box of rice cereal cost per ounce.
Step-by-step explanation:
Given:
15 oz of oat cereal cost = $3.90
11 oz of rice cereal cost = $3.30
We need to find the which box of cereal cost less per ounce.
Solution.
First we will find cost of 1 oz of oat cereal.
Now we know that;
15 oz of oat cereal cost = $3.90
1 oz of oat cereal cost = cost of 1 oz of oat cereal.
By Using Unitary method we get;
cost of 1 oz of oat cereal =
Now we will find cost of 1 oz of rice cereal.
Now we know that;
11 oz of rice cereal cost = $3.30
1 oz of rice cereal cost = cost of 1 oz of rice cereal.
By Using Unitary method we get;
cost of 1 oz of rice cereal =
Now from above we can see that cost of 1 oz of oat cereal is $0.26 and cost of 1 oz of rice cereal is $0.3.
Hence we say that, A box of oat cereal cost lees than a box of rice cereal cost per ounce.