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spin [16.1K]
3 years ago
8

How many different ways can the letters of MOM be arranged

Mathematics
1 answer:
musickatia [10]3 years ago
5 0
I believe 3. MOM, MMO, and OMM
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Which of the following series are convergent?
Westkost [7]

Answer:

All of them

Step-by-step explanation:

According to the ratio test, for a series ∑aₙ:

If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.

If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.

(I) aₙ = 10 / n!

lim(n→∞) |(10 / (n+1)!) / (10 / n!)|

lim(n→∞) |(10 / (n+1)!) × (n! / 10)|

lim(n→∞) |n! / (n+1)!|

lim(n→∞) |1 / (n+1)|

0 < 1

This series converges.

(II) aₙ = n / 2ⁿ

lim(n→∞) |((n+1) / 2ⁿ⁺¹) / (n / 2ⁿ)|

lim(n→∞) |((n+1) / 2ⁿ⁺¹) × (2ⁿ / n)|

lim(n→∞) |(n+1) / (2n)|

1/2 < 1

This series converges.

(III) aₙ = 1 / (2n)!

lim(n→∞) |(1 / (2(n+1))!) / (1 / (2n)!)|

lim(n→∞) |(1 / (2n+2)!) × (2n)! / 1|

lim(n→∞) |(2n)! / (2n+2)!|

lim(n→∞) |1 / ((2n+2)(2n+1))|

0 < 1

This series converges.

3 0
3 years ago
Write an expression to represent:<br> 6 times the difference of 5 and 2.​
Keith_Richards [23]

Answer:

See below

Step-by-step explanation:

The difference of 5 and 2    

    5-2    <=====   now multply it by 6

6 x (5-2)

4 0
2 years ago
Read 2 more answers
Use the slope formula to find the slope of the line that passes through the points (6,3) and (9,8).
Anni [7]
Correct answer is 5/3
8 0
2 years ago
What is 1/8 divided by 3
deff fn [24]
<u>1</u> : 3
8

Make the whole number a fraction, by putting it over 1.

<u>1</u> : <u>3</u>
8   1

Turn the second fraction upside down and multiply: 

<u>1</u> . <u>1</u> =  <u>1 </u>
8   3     24


S = 1/24
5 0
3 years ago
Help please (inequalities)
zaharov [31]

Answer:

The First one is the answer

4 0
2 years ago
Read 2 more answers
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