Answer:

Explanation:
The
th term of an arithmetic sequence is explicitly defined as
where
is the first term of the sequence and
is the the common difference.
From the given first five terms of the sequence we can see that the first term is
so
.
The common difference,
, can be calculated by
so we'll find the common difference of the given sequence by letting 
.
Now let's plug everything we know.



9514 1404 393
Answer:
radius = 5 cm
Step-by-step explanation:
The point of "show your work" is to have to do exactly that. If you know the answer to the problem, you are being requested to show how you got it. If you got it by using a web calculator, then show your input and its result.
__
If you worked the problem yourself, you probably did it by filling in numbers in the equation for the area of a circle:
A = πr²
78.5 = 3.14×r²
Dividing both sides by 3.14 gives the square of the radius:
78.4/3.14 = r² = 25
Taking the positive square root gives the radius:
r = √25 = 5
The area is in square centimeters, so the radius is in centimeters:
radius = 5 cm
Answer:
A. P(n) = 12·2^n
Step-by-step explanation:
From one generation to the next, the population grows by a factor of ...
24/12 = 2
Only one offered expression is an exponential function with a base of 2:
P(n) = 12·2^n
Answer:
78
Step-by-step explanation:
112-18-16=78