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murzikaleks [220]

3 years ago

11

if a farmer has one square mile of land if he divides his land into square fields that are 1/4 mile long and 1/4 mile wide how m

any fields does he have

1 answer:

dem82 [27]3 years ago

6 0

Four wide and four deep
4 ×4=16
sixteen

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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

What are the next four multiples of the fraction 3/5?

tiny-mole [99]

3/5
6/5
9/5
12/5
15/5
18/5
21/5
24/5
27/5
30/5
just add 3 in every numerator
Happy to Help!

5 0

4 years ago

Read 2 more answers

Use the following ordered pairs

Lynna [10]

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

$(x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})$

Putting the values

$=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)$

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

3 0

3 years ago

Please help on this one!!

worty [1.4K]

$\frac{2700 Joules}{60 sec} = 45 watts$

Answer: B

7 0

3 years ago

Read 2 more answers

Write the rate as a unit rate:<br> 400 miles in 8 hours

nikdorinn [45]

Answer:

50miles/hour

Step-by-step explanation:

400/8 is 50.

4 0

3 years ago