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2 years ago

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Mathematics

1 answer:

Brilliant_brown [7]2 years ago

4 0

I got -8 for my answer

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Use the Ratio Test to determine whether the series is convergent or divergent. [infinity] n! 112n n = 1 Identify an. Correct: Yo

MakcuM [25]

Answer:

Step-by-step explanation:

Recall that the ratio test is stated as follows:

Given a series of the form $\sum_{n=1}^{\infty} a_n let L=\lim_{n\to \infty}\left|\frac{a_{n+1}}{a_n}\right|$

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 $\sum_{n=1}^{\infty} n! \cdot 112n$ . In this case, $a_n =n! \cdot 112n$ , so , consider the limit

$\lim_{n\to\infty} \frac{(n+1)! 112 (n+1)}{n! 112 n} = \lim_{n\to\infty}\frac{(n+1)^2}{n}$

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

7 0

3 years ago

7 eights into decimal and fraction

Vinvika [58]

Answer:

Decimal Form: 0.875 Fraction Form: 7/8

Step-by-step explanation:

7 divided by 8 is 0.875 and another way to write seven eighths is 7/8

I hope this helps

6 0

3 years ago

general admission tickets to the fair cost $3.50 per person rides pass cost an additional $5 and fifty per person parking cost $

horrorfan [7]

Total people x,

then, 3.5x + 5.5x + 6 = 51

simplify, 9x +6 = 51

subtract 6 on both sides, 9x= 45

divide by 9 on both sides, x= 5

therefore, total 5 people in the family.

8 0

3 years ago

HG is the perpendicular bisector of FK. What is the length of GH? 8 9 15 34

igor_vitrenko [27]

Answer:

GH=15

Step-by-step explanation:

HK= FK/2= 16/2= 8

Using pythagoras theorem in triangle GHK,

GH²= GK²-HK²

= 17²-8²

= 225

GH= √225

=15

4 0

3 years ago

3.27525 in expanded form

Vikentia [17]

three and twenty-seven thousand, five hundred twenty-five hundred-thousandths

5 0

4 years ago

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