Hey there!
A common ratio is just that number that you multiply or divide to each number that gets you the next in a geometric sequence. In this sequence, we know the numbers are getting bigger and we're multiplying, so we want to know what you're multiplying by the first number to get to the second. We can call this unknown number x. SO if we start with the first number and set up an equation, we get:
3x = 12
Divide both sides by 3
x = 4
Therefore, your common ratio is 4.
To check, you can multiply all the next numbers by 4 to see that it all checks out.
Hope this helps!
I believe it would be the second one. That is two 90 degree rotations to add up to a 180 degree rotation.
Answer:
a) The sequence converges to 0
b) The lenght of the curve is
Step-by-step explanation:
Consider the sequence
a) We will prove it using the sandwich lemma. Note that for all n , then
Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that
So, the sequence converges to 0.
b) The function the formula of curve lenght is given by
in this case, a=1, b=6
Note that . Then
. Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,
Answer:
Go 4 to the right and 2 down.
Answer:
There isn't one.
Step-by-step explanation:
The square root of a negative number is imaginary. There is no real number that is the square root of -3.24.