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:
Surface area = 24in
Step-by-step explanation:
I think its 6in x 4in
so like since the green cylinder is 6in i think you multiply it with the purple (sorry if I’m wrong)
Answer:
m=-3
Step-by-step explanation:
Since the lines are parallel to each other, their gradients are equal.
∴ gradient of green line = gradient of red line
∴ m = -3
Answer:
The value of the stolen merchandise is 31.43
Step-by-step explanation:
Given as :
The number of cases of beer stolen = 7
Number of packs in each cases = 6
And The price of each six pack is 4.49
So, As the price of each six pack is 4.49 and number of pack in each case is 6
And the number o stolen cases is 7
So, The value of total stolen item = 7 × 4.49 = 31.43
Hence The value of the stolen merchandise is 31.43 Answer
Answer:
109
Step-by-step explanation: