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Harman [31]
3 years ago
8

Write an explicit formula for each sequence given below.

Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0

Answer:

The first five values are 12, 14, 16, 18 and 20

The recursive formula is as follow

Step-by-step explanation:

Since we need to find the first 5 values  we start with n = 1 to n = 5. Note that we don't start from n = 0 as the question states that  n ≥ 1.

For the first 5 values we just replace the value of n with 1, 2, 3, 4 and 5 and calculate the answer

The first five values are 12, 14, 16, 18 and 20

A recursive formula is one that

a) Mentions the initial term

b) provides a formula connecting the previous term to the existing term.

Since we know the first term is 12, i.e  and we know that the difference between consecutive terms is 2 we can conclude that the recursive formula is made up of the following two formulas

The over all formula is as follow

Step-by-step explanation:

Hope this helps:)

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One acute angle of a right triangle is 12 degrees more than twice the other acute angle. Fine the acute angles of the right tria
Svetlanka [38]
Let one acute angle be X and one be Y
X+Y=90  -------Eq.1
2X+12=Y
2X-Y=-12------Eq.2
solving eq 1&2 we get,
3x=78
∴X=26
substituting value X in equation.1
X+Y=90
Y=90-26
∴Y=64
⇒answer:- X=26°
                   Y=64°


8 0
3 years ago
What does 10.44 x 2.5 equal?
SSSSS [86.1K]
It is equal to 26 if you didn’t understand you can ask more questions and I’ll help
7 0
2 years ago
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Which equation results from adding the equations in this system?
MArishka [77]

Answer:

8y = -6

Step-by-step explanation:

x + 6y -x +2y = 9 +(-15) ➡ 8y = -6

5 0
3 years ago
7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C
4vir4ik [10]

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea x la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}

x = 84

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

y = \frac{3}{7}\cdot x

y = 36

Murieron 36 vacas.

Cantidad de vacas vendidas

z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x

z = 24

24 vacas fueron vendidas.

8 0
3 years ago
What is 1.6 as a percentage
svlad2 [7]

Answer:

160%

Step-by-step explanation:

8 0
3 years ago
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