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Ratling [72]
2 years ago
15

HELP PLEASE! IM STUCK--

Mathematics
1 answer:
belka [17]2 years ago
3 0

9514 1404 393

Answer:

  A (first choice), F (last choice)

Step-by-step explanation:

Formulas for arithmetic sequences are generally written in one of two forms. The form you're given here is called an "explicit" formula. For some value of n, you can find the n-th term by evaluating the formula.

The form used in the first three answer choices is called a "recursive" formula. The value of the n-th term depends not on 'n', but on the previous term.

These two forms can be converted to each other like this:

  explicit formula   ⇔   recursive formula

  A(n)=A_1+d(n-1)\quad\Leftrightarrow\quad\begin{cases}a_1=A_1\\a_n=a_{n-1}+d\end{cases}

The values of the first term (A₁), the common difference (d), and the term index number (n) are the same in both forms. Once you see this relationship, you should be able to find ...

  • the first term
  • the common difference
  • the other formula for the same sequence

__

Here, the given function tells you ...

  • A₁ = 5
  • d = +4

This means the formulas that describe the same sequence are ...

  \square\ \begin{cases}a_1=5\\a_n=a_{n-1}+4\end{cases}\\\\\square\ A(n)=5+4(n-1)

_____

<em>Additional comment</em>

The commutative property of multiplication tells you that (n-1)(4) = 4(n-1). The order of the operands makes no difference. The given function has the first of these forms, the offered answer choices have the second of these forms.

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Please help asap (:
Korolek [52]
For this case we first define the variable:
 x = number of terms.
 The equation that models the problem is:
 f (x) = 3.4 - 0.6x
 We have then that the first four terms are:
 x = 1
 f (1) = 3.4 - 0.6 (1) = 3.4 - 0.6 = 2.8
 x = 2
 f (2) = 3.4 - 0.6 (2) = 3.4 - 1.2 = 2.2
 x = 3
 f (3) = 3.4 - 0.6 (3) = 3.4 - 1.8 = 1.6
 x = 4
 f (4) = 3.4 - 0.6 (4) = 3.4 - 2.4 = 1
 Answer:
 
The rule for the sequence is:
 
f (x) = 3.4 - 0.6x
 option 1
7 0
3 years ago
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Four students are playing a math game at home. One of the math
BigorU [14]

Kayla wrote an equation.
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Kayla's solution is  x=4 .
William's solution is   x > -2.5 .

Brandon and Alice wrote expressions. 
Those are just numbers, that depend on the value of 'x'.

7 0
3 years ago
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What is the equation of a line that has a slope of 3 and a y-intercept of -3
LUCKY_DIMON [66]

The slope-intercept form:

y = mx + b

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6 0
3 years ago
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Solve for x<br> 2(−4x+3)+3x+3=−16
Flauer [41]

Answer:

x=5

Step-by-step explanation:

distribute first

2(-4x+3)

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-8x+6+3x+3=-16

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-9. -9

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6 0
3 years ago
Solve equation 13=x/7+5
yuradex [85]

Answer:

56

Step-by-step explanation:

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 5 from both sides:

13 (-5) = (x/7) + 5 (-5)

13 - 5 = x/7

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Isolate the variable x. Multiply 7 to both sides:

8(7) = (x/7)(7)

8(7) = x

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x = 56

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~

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