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3 years ago

Fasiz and Dale drive at the same speed along a road. Fasiz drives 8 km

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

2km is the answer because you divide 8 and 24 then multiply it by 6.

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the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence

algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

$r = a_2 \div a_1 = 4 \div 8 = 0.5$

$\texttt{ }$

<em>The iterative rule for the sequence:</em>

$a_n = a_1 \cdot~ r^{n-1}$

$a_n = 8 \cdot~ (0.5)^{n-1}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

6 0

3 years ago

Identify an equation in point slope form for the line perpendicular to

Vaselesa [24]

Point slope form is y2-y1=m(x2-x1).

The slope m that is perpendicular to y=-4x-1 will be 1/4 (the opposite reciprocal). Then you can use (-2,7) as the x and y values to plug into the formula:

y-7=1/4(x+2) is the answer.

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3 years ago

How does a monthly budget worksheet help you?

suter [353]

'a' is the correct answer

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3 years ago

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larisa [96]

Answer:

Step-by-step explanation:

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3 years ago

List three ways o express 3 to the 5 power as a product of powers

tia_tia [17]

3 ways to express 3 to the 5th power as the product of powers First expression => 3 x 3 x 3 x 3 x 3 - In this expression, we multiplied 3 5 times and the product is 243 Second expression => 3 ^ 5, in where ^ read as raised to the power, the product is also 243 Third expression => 3^2 x 3^3 => (3 x 3) x (3 x 3 x 3) => 9 x 27, the product also equals to 243.

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3 years ago