EXPLANATION
If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by
Check wheter the difference is constant:
Compute the differences of all the adjacent terms:
Replacing terms:
4-7 = -3
The difference between all of the adjacent terms is the same and equal to
d = -3
The first element of the sequence is
Therefore, the nth term is computed by
d= -3
Refine
d= -3 ,
Now, replacing n=7
So, the answer is -11.
9514 1404 393
Answer:
7
Step-by-step explanation:
When the mean of two numbers is the same as one of the numbers, then the other number also has that same value. This is true for any kind of mean:
arithmetic, geometric, harmonic.
The other number would be 7.
__
The geometric mean (m) of a and b is ...
m = √(ab)
We have ...
7 = √(7b)
49 = 7b . . . . . square both sides
7 = b . . . . . . . .divide by 7
a = b = m = 7 in this case.
Answer:
They ate 
of the pizza
Step-by-step explanation:
Carolyn and Joyce at 4 slices of pizza altogether, and since there are 12 slices of pizza, they ate 
of the pizza.
Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
Answer:
45 minutes
Step-by-step explanation:
distance / rate = time
27 miles / 36 miles/hr = .75 hr ( 45 minutes )
