To describe a specific arithmetic sequence, Elijah wrote the recursive formula:

Mathematics

1 answer:

Rufina [12.5K]3 years ago

7 0

Answer:

Y(n) = 7n + 23

Step-by-step explanation:

Given:

f(0) = 30

f(n+1) = f(n) + 7

For n=0 : f(1) = f(0) + 7

For n=1 : f(2) = f(1) + 7

For n=2 : f(3) = f(2) + 7 and so on.

Hence the sequence is an arithmetic progression with common difference 7 and first term 30.

We have to find a general equation representing the terms of the sequence.

General term of an arithmetic progression is:

T(n) = a + (n-1)d

Here a = 30 and d = 7

Y(n) = 30 + 7(n-1) = 7n + 23

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kramer

A is the correct answer.

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In B, the input 1 has two outputs.
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3 years ago

Read 2 more answers

−4x + y = 6<br> −5x − y = 21

Scorpion4ik [409]

You have in the first equation "+y" and in the second "-y"
So, you add the 2 equations, so we can remove this 2 letters since they're opposite numbers.
So, we get:
-4x + y -5x - y = 21 + 6
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Then, you add
-4x -5x = 21 + 6
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Then, you move the -9 to the other part, next to the 27. And since it was a multiplication, it becomes a division.
x = $-\frac{27}{9}$
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Then, you choose an equation of the system, and you replace x by it's value so you can find y. I'll take the first equation.

-4x + y = 6
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Then, you move 12 to the other part next to the 6. And since it was a positive number, it becomes a negative number.
So
y = 6 - 12
y = -6

So, the solution of the proposed system <span>is (x;y) = (6;-6)
x = 6
y = -6

Hope this Helps :)

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An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5

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A. 36 is your answer

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hope this helps

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