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il63 [147K]
3 years ago
7

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))

0

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Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into p
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Answer:

12

Step-by-step explanation:

Length of one of the boards = 8 feet

Converting to inches

1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}

One cut is 16 inches

So, we divide the length of the board by 16

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So, one board is cut into 6 pieces.

The other board is also 8 feet long.

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8 0
3 years ago
Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120
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Step-by-step explanation:

ATQ,

Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.

She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.

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We can also solve the above equations,

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What is the value of h ?
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