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Marizza181 [45]
3 years ago
12

A1 = 5 an = an-1 (3) what is the 3rd term of this sequence?

Mathematics
1 answer:
stepan [7]3 years ago
6 0

Answer:

45

Step-by-step explanation:

If a(1) = 5, then a(2) = a(1)*3, or 5*3, or 15.

If a(2) = 15, then a(3) = a(2)*3, or a(3) = 15*3 = 45

This is a geometric sequence with first term a(1) = 5 and common ratio 3.  We can immediately write the explicit formula

a(n) = 5*3^(n - 1), which correctly predicts that a(3) = 5*3^(3 - 1) = 5*9 = 45

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The executive summary component of a business plan is to describe
exis [7]

Answer:

Executive summary describes the 'big picture behind your business, what your business has to offer the consumer, and why

Step-by-step explanation:

B is right

6 0
2 years ago
E + 1 13/16 = 2 5/16
Burka [1]

e + 1 13/16 = 2 5/16

subtract 1 13/16 from each side

e = 2 5/16 - 1 13/16

borrow from the 2

e = 1 16/16 + 5 /16 - 1 13/16

e = 1 21/16-1 13/16

e = 1 8 /16

e = 1 1/2

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3 years ago
Me ayudan hacer este ejercicio con los pasos
QveST [7]

Answer:

A) 21/7, or 3

B) 36/5, or 7 1/5

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D) 54/12, or 4 6/12, or 4 1/2

Step-by-step explanation:

8/7 plus 13/7. You add the numerators (the numbers on top) together. That makes 21. The denominator (the numbers on bottom) stays the same. So it would be 21/7. 7 fits into 21, 3 times.

8/7 más 13/7. Agrega los numeradores (los números en la parte superior) juntos. Eso hace 21. El denominador (los números en la parte inferior) permanece igual. Entonces sería 21/7. 7 encaja en 21, 3 veces.

8/7 plus 13/7. Vous ajoutez les numérateurs (les chiffres du haut) ensemble. Cela fait 21. Le dénominateur (les chiffres du bas) reste le même. Donc, ce serait 21/7. 7 correspond à 21, 3 fois.

8/7 plus 13/7. Quarum numeratores addere (supra de numero) una. 21. Quod facit denominator est (per numeros in fundo) manebit. Ita esset 21/7. Vicium, in VII XXI, III tempora.

6 0
3 years ago
Read 2 more answers
Which of the following statements are true?
IgorC [24]

Answer:  statement 2: a square is always a rhombus.

Step-by-step explanation:

A parallelogram does not have all the interior angle as right angle.

Therefore, it does not satisfy property of rectangle.

A square has all sides equal and its diagonals are perpendicular bisector.

Thus,  square satisfies all the properties of rhombus .

A rectangle does not have all the sides are equal.

Therefore, it cannot b e a square.

4 0
4 years ago
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Which explanation can be used to informally derive the formula for the volume of a cone? A. A cone consists of a circle as a bas
TEA [102]

Answer:

D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Step-by-step explanation:

A cylinder and a cone with the same radius will have different volumes.  This is because the cone comes to a point whereas the cylinder does not.

A filled cone will hold 1/3 of the amount of a cylinder with the same radius.  This means that we can derive the formula for a cone by multiplying the formula for the volume of a cylinder by 1/3.

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4 years ago
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