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.
The more digits you have the bigger the number, unless you have a long decimal, and in that case only is the number smaller in value.
The number of comic books is an illustration of a linear function
- The complete equations are:
and 
- The value of b has increased by 4
She had 17 comic books already.
So, we have:
Her order of 65 books contains 8 comic books per collection.
So, we have:
This is represented as:
So, we have:
Rewrite as:
Subtract 17 from both sides
Divide both sides by 8
Assume she has 97 books in her collection, then the equation would be represented as:
Subtract 17 from both sides
Divide both sides by 8
The values of b are 6 and 10.
The difference between 6 and 10 is 4
Hence, the value of b has increased by 4
Read more about linear equations at:
brainly.com/question/11897796
When you square a negative number, the result is positive.
(-4)^2 = (-4)ª(-4) = 16
When you cube a negative number, the result is negative.
(-4)^3 = (-4)•(-4)•(-4) = -64
Negatives pair up and cancel out, so odd exponents always have one negative unpaired, making the result negative.
Answer:
1.03x
Step-by-step explanation:
1 year b would be the inital investment added with interest
i believe this is the equation
b = x + r(x)= (1 + r)x
and since it says 3% each year we know its 0.03 (r)
and when you solve it out you get that answer
