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myrzilka [38]
2 years ago
15

What is the genaral term of this number pattern ? 45,41,37,33,29​

Mathematics
2 answers:
Zarrin [17]2 years ago
8 0

Answer:

<h2>aₙ = -4n + 49</h2>

Step-by-step explanation:

45, 41, 37, 33, 29, ....

a₁ = 45

a₂ = 45 - 4 = 41

a₃ = 41 - 4 = 37

a₄ = 37 - 4 = 33

a₅ = 33 - 4 = 29

...

It's an arithmetic sequence.

a₁ = 45, d = -4

A general term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Substitute:

aₙ = 45 + (n - 1) · (-4) = 45 - 4n + 4 = -4n + 49

konstantin123 [22]2 years ago
7 0

Answer:

-4n + 49

Step-by-step explanation:

it is going down by 4 each step, hence, -4 and 45 -- 4 = 45 + 4 = 49.

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2.75 * 12 = 33.

If the Sanchez family is using 2 3/4 (or 2.75) tubes of toothpaste and there are 12 months in a year, we use the equation above and get 33 as our answer.
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3 years ago
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When x = -3, then y = ___
Finger [1]

Answer

answer is y=3

y=3

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The sum of two integers is 81.if the product is 1088.what are the integers
arlik [135]

Answer:

(a;b)={(17; 64); (64; 17)}

Step-by-step explanation:

a+b=81 => b=81-a

a*b=1088

a*(81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

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3 0
3 years ago
Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north o
My name is Ann [436]

Answer:

≈11.4

Step-by-step explanation:

We know that, Ryan lives 2 blocks west and 5 blocks south of Devin

=> Coordinate of Ryan: (-2,-5). Because:

  • 2 blocks west = 2 unit to the left = -2
  • 5 blocks south = 5 unit go down= -5

Andy lives 7 blocks east and 2 block north of Devin.

=>Coordinate of Andy: (7,2), because:

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Hence, to find out the distance of Ryan and Andy, we use distance formula as below:

\sqrt{(2+5)^{2} + ((7+2)^{2} }  ≈11.4

3 0
3 years ago
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How do you solve this question<br><br> /
Alinara [238K]

Answer:

5/18

Step-by-step explanation:

Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...

<u>-4 </u>x <u>-5</u>  = <u>20</u> (when you multiply two negatives, it makes a positive)

9 x 8   = 72

20/72 simplifies to 5/18.

Hope this helps!! Have a wonderful day C:

8 0
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