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3 years ago

8

In the figure below, m ROP = 125°.

1 answer:

marissa [1.9K]3 years ago

3 0

The figure given above shows us a circle with a couple of lines intersecting certain points on it. So if we divide the circle into two, then we have a semi circle with an angle of 180° on its vertical side. Since ∠ROP = 125°, then subtract 180° to 125° and you will get ∠POS = 55°. ∠POS is also equal to ∠QOR. And ∠ROP = ∠QOS.

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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

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3 years ago

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Marat540 [252]

Answer:

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Step-by-step explanation:

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f(x)=x-7 , therefore it is f(x)=1x-7

You add 2x with 1x to get 3x

and 7-3 is -4.

h(f(x))=3x-4

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3 years ago

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anyanavicka [17]

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copy dot flip

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alekssr [168]

My guess is that there is 5 angles and 5 sides... because i divided 10 in half
likeee this
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denis23 [38]

The 4th term is 135
n-1
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