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Bingel [31]
2 years ago
14

Sort the sequence according to whether they are arithmetic gemoentic or neither

Mathematics
1 answer:
vaieri [72.5K]2 years ago
7 0

98.3, 94.1, 89.9, 85.7 (Arithmetic)

1, 0, -1, 0 (Neither)

1.75, 3.5, 7, 14 (Geometric)

-1, 1, -1, 1..... (Geometric)

<h3>Determining the type of a sequence</h3>

An arithmetic sequence has a common difference

A geometric sequence has a common ratio

Considering the given sequences one after the other:

<u>For 98.3, 94.1, 89.9, 85.7,..........</u>

The common difference, d = 94.1 - 98.3 = -4.2

Therefore, 98.3, 94.1, 89.9, 85.7 is an arithmetic sequence

<u>For 1, 0, -1, 0......</u>

The sequence does not have a common difference or a common ratio. Therefore, it is neither an arithmetic nor geometric sequence

<u>For 1.75, 3.5, 7, 14,.....</u>

The common ratio = 3/1.75 = 2

Therefore, it is a geometric sequnec

<u>For -1, 1, -1, 1.....</u>

The common ratio = 1/-1 = -1

It is a geometric sequence

Learn more on arithmetic and geometric sequences here: brainly.com/question/13613396

#SPJ1

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The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original
evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

{:\implies \quad \sf 5(s+8)=65}

{:\implies \quad \sf 5s+5\times 8=65}

{:\implies \quad \sf 5s+40=65}

{:\implies \quad \sf 5s=65-40}

{:\implies \quad \sf 5s=25}

{:\implies \quad \sf s=\dfrac{25}{5}=5}

{:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}

As we assumed the original side to be <em><u>s</u></em> .

<em>Hence, the original side's length 5 inches </em>

8 0
2 years ago
$100 is invested at 12% per year. If the amount is compounded annually, write the total amount after 2 years in exponential func
Sladkaya [172]

Answer:

A = $100(1.12)^2

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For this case;

P = $100

t = 2years

n = 1

r = 12% = 0.12

Substituting the values, we have;

A = $100(1+0.12)^(2)

A = $100(1.12)^2

7 0
3 years ago
(03.03 MC)
kaheart [24]

Answer:

use connects Q&A... they answer better nd quick

4 0
3 years ago
?????????????????????
romanna [79]
In 24 hour time format, afternoon time 1300 is 1pm, 1400 is 2pm, and in general we have to subtract 1200 to make the pm times traditional.

2250 - 1200 = 1050, ten to eleven.

Choice b.




5 0
4 years ago
Read 2 more answers
Simplify. (In picture)
kramer

Simplifying the numerator becomes (x-1)(x+3)/(x-4).

The denominator becomes (2x-1)(x+3)/[(x-4)(x+4)].

Simplifying it becomes (x-1)(x+4)/(2x-1), making it (x^2+3x-4)/(2x-1), or answer choice A.

7 0
3 years ago
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