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3 years ago

15

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next te

rm in the sequence?
–7
–1
1
7

2 answers:

Kisachek [45]3 years ago

8 0

F(1) = -4
so f(2) = f(1) + 3 = -4 + 3 = -1 answer

Veronika [31]3 years ago

5 0

Answer:

-1

Step-by-step explanation:

-4+3=-1

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Determine the standard form of the equation of the line that passes through ( -5,0 ) ( 0 ,-9)

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The general form for a line through two points (a,b) and (c,d) is

(c-a)(y-b)=(d-b)(x-a)

This is better than the slope forms because it works in the no slope case, as does the standard form.

If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.

Here we have

(0 - -5)(y - 0) = (-9 - 0)(x - - 5)

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Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero. I like the constant alone.

Answer: 9x + 5y = -45

Check:

We check each point is on the line

(-5,0)

9(-5) + 5(0) = -45, good

(0, -9)

9(0) + 5(-9) = -45, good again

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Answer:

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Step-by-step explanation:

In any set of ordered pairs,

The domain is the values of x (set of x) ⇒ the first number in each ordered pair

The range is the value of y (set of y) ⇒ the second number in each ordered pair

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∵ The set of y is the range of the function

∴ The range of the set of ordered pairs = {5, 2, 0, -4}

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