Given a series, the ratio test implies finding the following limit:
If r<1 then the series converges, if r>1 the series diverges and if r=1 the test is inconclusive and we can't assure if the series converges or diverges. So let's see the terms in this limit:
Then the limit is:
We can simplify the expressions inside the absolute value:
Since none of the terms inside the absolute value can be negative we can write this with out it:
Now let's re-writte n/(n+1):
Then the limit we have to find is:
Note that the limit of 1/n when n tends to infinite is 0 so we get:
So from the test ratio r=0.4 and the series converges. Then the answer is the second option.
Answer:
It is the experimental condition.
Step-by-step explanation:
In the experiment given in the question, the amount of sleep is the independent variable and the number of photographs they remember is the dependent variable because it depends on the amount of sleep.
The 8 hours of sleep, which creates the difference in the experiment between the control group and the test group, is the experimental condition.
The experimental condition is the variable that is changed to let the researcher observe the effects on the dependent variable.
I hope this answer helps.
6/25 is the answer as a simplified fraction
Answer:
20s=m
Step-by-step explanation:
I really don't understand it that well but all that I can is that s can represent students that went on the trip, and each student's ticket cost is 20$, so 20*s=20s, but we are taking m as the total money collected, so we can end up saying that 20s=m, hope u understood :)
