Answer:
L = 7/6 , and the correct option is B, the series diverges.
Step-by-step explanation:
Here we have that:
Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:
We can simplify the right part to get:
Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.
The first derivatives are:
For the denominator: (3*6)
For the numerator: (3*7)
Then we need to find the limit as n goes to infinity to:
But this does not depend on the value of n, then the limit is just 6/7.
L = 7/6
And 7/6 > 1.
Then we can conclude that our series diverges.
You need to find x first. When you have x, you multiply the 11 by the x (whatever you found the number) then you subtract it by 3. I hope this helped.
Answer: dollars
Step-by-step explanation:
Mean means average and it's calculated by adding the numbers given and then dividing the sum by the amount of numbers that were given.
The standard deviation shows the amount of dispersion or amount of variation of a given set of values. From the question, the only unit of measurement we can see is the dollar sign($).
By dividing each gummy worm into 5 parts, you will end up with 15 pieces of gummy worm. Then you divide 15 by 5 and each person gets 3 pieces of gummy worm. Hope this was helpful! ^-^
Answer:
Smallest number with the properties in the question = 57
Step-by-step explanation:
Let's first find the LCM of the three numbers which it is divided by which are 4,5,6.
LCM of 4,5 and 6 is 60.
We are told that;
The number has a remainder of 1 when divided by 4
The number has a remainder of 2 when divided by 5
The number has a remainder of 3 when divided by 6
In all 3 cases, the difference between the divisor and the remainder is 3.
This means that the smallest number in that has the properties in the question must be; 60 - 3 = 57
