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3 years ago

How do you expand n! and (n+1)!

Mathematics

2 answers:

andreev551 [17]3 years ago

6 0

Answer:

n! = n × n−2 × n−3 × ... × 2 × 1

(n+1)! = n+1 × n × n−2 × n−3 × ... × 2 × 1

(n+1)! = (n+1) n!

Step-by-step explanation:

ELEN [110]3 years ago

3 0

Step-by-step explanation:

n! = n × n−2 × n−3 × ... × 2 × 1

(n+1)! = n+1 × n × n−2 × n−3 × ... × 2 × 1

(n+1)! = (n+1) n!

Therefore:

lim(n→∞) (n! / (n+1)!)

lim(n→∞) (n! / ((n+1) n!))

lim(n→∞) (1 / (n+1))

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Solve the equation for x: 3x+5=20

Lyrx [107]

Answer:

x = 5

Step-by-step explanation:

3x+5=20

Subtract 5 from both sides.

3x=20−5

Subtract 5 from 20 to get 15.

3x=15

Divide both sides by 3.

x= 15/3

Divide 15 by 3 to get 5.

x=5

8 0

2 years ago

Solve for x and then type the answer. Just type the number. If there are 2 answers, then type both numbers, separated by a comma

Basile [38]

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3 0

3 years ago

Q 1.) Expand using identities: i. (a+2b)² ii. (5x-3y)² iii. (3a+4)(3a-4)(9a²+16)

Ganezh [65]

Step-by-step explanation:

#1.

(a + 2b)²

Using identity (x + y)² = x² + 2xy + y², we get:

= (a)² + (2b)² + 2 × (a) × (2b)

= a² + 4b² + 4ab

= a² + 4ab + 4b² Ans.

#2.

(5x - 3y)²

Using identity (a - b)² = a² - 2ab + b², we get:

= (5x)² + (3y)² - 2 × (5x) × (3y)

= 25x² + 9y² - 30xy

= 25x² - 30xy + 9y² Ans.

#3.

(3a + 4)(3a - 4)(9a² + 16)

Using identity (x + y)(x - y) = x² - y², we get:

= [(3a)² - (4)²][9a² + 16]

= (9a² - 16)(9a² + 16)

= (9a²)² - (16)²

= 81a⁴ - 256 Ans.

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2 years ago

3 Jazmin is mailing two packages. One package weighs 3 pounds, and the other package weighs 20 ounces. What is the total weight

Angelina_Jolie [31]

Answer:

68oz

Step-by-step explanation:

1) 3lbs x 16oz = 48

Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.

2) 48 + 20 = 68oz

3) The total weight of both packages is 68 ounces.

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8 0

2 years ago

Write the equation of a line that passes through two points (-1, 0) and (4, -5).

sleet_krkn [62]

Answer:

y = -1 (x) -1

Step-by-step explanation:

If you plug in the numbers from the coordinates into the equation, you will find that it's true.

-1 is x and 0 is y. Plug in the #s like so:

y = -1 (x) -1

0 = -1 (-1) - 1

0 = 1 - 1

0 = 0

Therefore, the equation above represents the line that passes through both these points.

8 0

3 years ago