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2 years ago

Use the formula an = aj(r)a- to write a formula for the geometric sequence below.

Mathematics

1 answer:

GREYUIT [131]2 years ago

8 0

Answer:

$a_{n}$ = 3 $(2)^{n-1}$

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2

This indicates the sequence is geometric with n th term

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 2 , thus

$a_{n}$ = 3 $(2)^{n-1}$

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Write an equivalent expression for 7 + 5 k minus 2 minus 3 k + n. Which statements are true about the steps for writing the equi

Nataly [62]

Answer:

1. Combine the constant terms by adding 7 and –2.

4. Combine the like variable terms by adding the coefficients

5. 5 k and negative 3 k are like variable terms

6.The constants 7 and –2 are like terms.

7. The equivalent expression is 5 + 2 k + n.

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2 years ago

Write the coefficient of x² in<br> X/3 (6x-1/2)

Igoryamba

Answer:

The coefficient of x² in the expression is 2

x/3(6x-1/2) = 6x²/3 - x/6

= 2x² - x/6

Hope this helps

7 0

2 years ago

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La edad de juan es un año menos que la tercera parte de la edad de la madre. si dentro de 5 años, la edad de la madre sera 10 añ

koban [17]

Usando un sistema de ecuaciones, se encuentra que Juan tiene 12 años e su madre tiene 39 años.

<h3>¿Qué es un sistema de ecuaciones?</h3>

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, las variables son:

Variable x: Edad de Juan.

Variable y: Edad de su madre.

La edad de juan es un año menos que la tercera parte de la edad de la madre, por eso:

$x = \frac{y}{3} - 1$

Dentro de 5 años, la edad de la madre sera 10 años mas que el doble de juan, por eso:

$y + 5 = 2(x + 5) + 10$

$y + 5 = 2x + 20$

Como $x = \frac{y}{3} - 1$ :

$y + 5 = \frac{2y}{3} + 18$

3y + 15 = 2y + 54

y = 39

$x = \frac{y}{3} - 1 = \frac{39}{3} - 1 = 13 - 1 = 12$

Juan tiene 12 años e su madre tiene 39 años.

Puede-se aprender más a cerca de sistema de ecuaciones en brainly.com/question/20178040

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2 years ago

Keith is working two jobs this summer as a lifeguard and a tutor. he earns $16 an hour as a lifeguard and $18 an hour as a tutor

Oxana [17]

Answer:

He could work 10 hours as a lifeguard, and 5 hours as a tutor

Step-by-step explanation:

If he makes $16 an hour as a lifeguard

and $18 an hour as a tutor,

He could work 10 times $16, to make $160 for 10 hours.

Now we subtract this from $250, this makes $90.

We know need to find out how many times 18 goes into 90, 5 times.

So we know that he could work 10 hours as a lifeguard and 5 hours as a tutor.

I hope this is right.

I hope this helps too, have a nice day!

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1 year ago

QUESTION AND DIAGRAM IN PICTURE<br> BRAINLIEST TO CORRECT ANSWER

Deffense [45]

Answer:

h=square root of 55

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Step-by-step explanation:

3 0

2 years ago

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