Answer:
The number of bottles recycle by Alice is 21.
Step-by-step explanation:
Given:
Mike and Alice recycled 147 bottles altogether. Mike recycled 6 times as many bottles as Alice.
Now, to find the quantity of bottles Alice recycle.
Let the number of bottles recycle by Alice = .
And the number of bottles recycled by Mike = .
So, according to question:
⇒
<em>Dividing both sides by 7 we get:</em>
⇒.
Therefore, the number of bottles recycle by Alice is 21.
Answer:
Step-by-step explanation:
Recall that the ratio test is stated as follows:
Given a series of the form
If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.
Consider the given series . In this case,
, so , consider the limit
Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test