Answer:
<h2>A. The series CONVERGES</h2>
Step-by-step explanation:
If
is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

If
< 1, the series converges absolutely
If
, the series diverges
If
, the test fails.
Given the series 
To test for convergence or divergence using ratio test, we will use the condition above.



aₙ₊₁/aₙ =

note that any constant dividing infinity is equal to zero



Since The limit of the sequence given is less than 1, hence the series converges.
Answer:
the answer and explanation is in the picture
Step-by-step explanation:
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Answer:
Twenty-four and three hundred fifty-seven thousandths.
Step-by-step explanation:
The expanded form of 24.357 in decimals is 24.3757 because it is already in it's decimal form.
The expanded form of 24.357 in fractions is 24.357. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction:
.
<h3>
Answer: 35 inches</h3>
Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.
New perimeter = (scale factor)*(old perimeter)
New perimeter = (5/3)*(old perimeter)
New Perimeter = (5/3)*(21)
New Perimeter = (5/3)*(21/1)
New Perimeter = (5*21)/(3*1)
New Perimeter = 105/3
New Perimeter = 35 inches
4
search up math vvay for more explantion also paste this in there