Answer:
The recursive formula is aₙ=aₙ₋₁ -12
Step-by-step explanation:
Recursion is a process in which each step of a pattern depends on the step or the previous steps. So a recursive sequence is a sequence where terms are defined using one or more previous terms that are given.
So a recursive formula allows you to find any term in an arithmetic sequence using a function of the previous term, where each term is the sum of the previous term and the common difference.
So, in this case you can see the common difference of all the terms by doing the following calculations between a term and its previous value:
-13-(-1)=-13+1=-12
-25-(-13)=-25+13=-12
-37-(-25)=-37+25=-12
The common difference is -12
So, <u><em>the recursive formula is aₙ=aₙ₋₁ -12 where each term is the same
to the previous term minus 12.</em></u>
First you need to set this problem up as a cross multiply fraction set (actually forgot the name of it so I described it as that).
10/15 * 30/x
Solve for X
450 = 10x
Simplify
45 = x
The Daily dose is 30 meq/45 ml. For a 30 day supply you just multiply by 30.
1350 ml is needed for a 30 day supply.
Remark
The formula for this series is
t_n = n^2 - 1
Explanation
If the series ends at 288, then the highest value n can have is 17
So you would write t_n = n^2 - 1 {n| 1 ≤ n ≤17}
If you said this to someone, you would say "t_n = n squared minus 1 where n is such that 1 is greater than or equal to 1 or less than or equal to 17"
Example
What is the 4th term in this series?
t_4 = 4^2 - 1
t_4 = 16 - 1
t_4 = 15
Your chosen answer is correct. (a, b)
