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kirill [66]
3 years ago
7

Which formula does NOT describe the sequence 8, 6, 3, –1, –6, … ?

Mathematics
2 answers:
Lapatulllka [165]3 years ago
8 0
<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
lara [203]3 years ago
8 0
Where is the rest of the question
You might be interested in
16x+14y=8 <br> -63x-14y=133
artcher [175]

Answer:

(-3, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define Systems</u>

16x + 14y = 8

-63x - 14y = 133

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine 2 equations:                    -47x = 141
  2. Divide -47 on both sides:               x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    16x + 14y = 8
  2. Substitute in <em>x</em>:                                     16(-3) + 14y = 8
  3. Evaluate multiplication:                       -48 + 14y = 8
  4. Add 48 on both sides:                        14y = 56
  5. Divide 14 on both sides:                      y = 4

<u>Step 4: Graph Systems</u>

<em>Check the solution set.</em>

4 0
2 years ago
Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a
Minchanka [31]

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776  -  $1350 = $426

Tyrone markup rate = 426/24 = $17.75  per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248  - $950  = $298

Terri markup rate = 298/24 = $12.4166666667  = $12.42 per month

6 0
3 years ago
2) Find the area without graphing. A(25, 30), B (-15, 30), C(-15, 22), D(25, 22) What is this shape?
Katen [24]

Answer:

The answer to the question is a rectangle.

Step-by-step explanation:

6 0
3 years ago
A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,
grigory [225]

Answer: 3.5

Step-by-step explanation:

Given: Dimensions of larger prism = length of  4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor = \dfrac{\text{Size of image}}{\text{Size of original figure}}

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor = \dfrac{14.7}{4.2}=3.5  [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5

5 0
3 years ago
Read 2 more answers
I will give brainliest for right answer
Nastasia [14]

Answer:

B is correct

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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