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anyanavicka [17]
4 years ago
13

Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?

Mathematics
2 answers:
AlladinOne [14]4 years ago
5 0
The sequence of numbers decrease by 6 each time, so we can write:
f(1) = 5
f(2) = -1
f(3) = -7
f(1) - f(2) = 6
or:
f(2) = f(1) - 6
which means:
f(n + 1) = f(n) - 6
Thepotemich [5.8K]4 years ago
4 0

Answer:

Step-by-step explanation:

the sequence of numbers decrease by 6 each time, so we can write:

f(1) = 5

f(2) = -1

f(3) = -7

f(1) - f(2) = 6

or:

f(2) = f(1) - 6

which means:

f(n + 1) = f(n) - 6

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x²-3

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The expression given is;

6x²-18

Finding the greatest common factor of the terms and simplifying the expression will be;

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x²-3

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4 0
3 years ago
In a drawing of a
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3 years ago
A cookie recipe states for every 3 cups of flour, 1.5 teaspoons of vanilla are
guapka [62]

Answer:

2.5 Teaspoons of vanilla are needed.

Step-by-step explanation:

If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.

If you have 5 cups of flour   5 x .5= 2.5 (teaspoons)

7 0
3 years ago
Yolanda, Hong, and Ahmad served a total of 70 orders Monday at the school cafeteria. Yolanda served 6 fewer orders than Ahmad. H
irina [24]

Answer:Yolanda served 13 orders.

Ahmad served 19 orders.

Hong served 38 orders.

Step-by-step explanation:

Let x represent the number of orders that Ahmad served.

Yolanda served 6 fewer orders than Ahmad. This means that the number of orders that Yolanda served is x - 6

Hong served 2 times as

many orders as Ahmad. This means that the number of orders that Hong served is 2x

Yolanda, Hong, and Ahmad served a total of 70 orders Monday at the school cafeteria. This means that

x - 6 + x + 2x = 70

4x - 6 = 70

4x = 70 + 6 = 76

x = 76/4 = 19

Hong served 2 × 19 = 38

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5 0
4 years ago
Can you tell me who's correct with an explanation and what the cause of error is? Please? lol.
Zielflug [23.3K]
It's not an irrational number because the decimal is repeating. If it went on forever and never repeated then it would be an irrational number.

I think the error is that Richie thought for a number to be irrational, it just needed to repeat forever.
4 0
3 years ago
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