Answer:
Recursive:
Explicit:
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
Explicit Rule:
The standard format for the explicit rule is:
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
Evaluate:
Hence, the 20th term is 225.
Answer:
what they currently going over?
This question seems to be a good example of why we need to learn math!
P=present value
i=interest rate = 0.02 per year
time, t=1 year
we need P such that
interest = Pit ≥ 9.99
or
P(.0002*1) ≥ 9.99
=>
P ≥ 9.99/0.0002 = 49950
Answer: it takes a minimum balance of $49950 to cover a "below minimum balance fee" of $9.99.
The slope of the equation is 7 hope this helps you