All categories

3 years ago

What is the explicit formula for this sequence?

Mathematics

2 answers:

VLD [36.1K]3 years ago

7 0

Answer:

Step-by-step explanation:

we see a1 = 6.

that is the starting value. everything else then (to generate the new sequence elements) is added to this.

so, B and C are out.

and clearly, for every new sequence element we add -3. and we do this for every sequence element except for a1. so we add -3 (n-1) times.

therefore, only D is correct.

anyanavicka [17]3 years ago

3 0

Answer:

The correct answer is D.

You might be interested in

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0

3 years ago

1 1/5 to the power of 3-1

Angelina_Jolie [31]

This is 6/5 to the 2 (6/5 squared). 36/25 is the answer

4 0

3 years ago

A straight line has the same gradient as y=3x+5 and it passes through the point (0,12).

Leokris [45]

Answer:

y = 3x + 12

Step-by-step explanation:

y = 3x + 5 has slope 5.

We need the equation of a line with slope 5 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

y = 3x + 12

5 0

2 years ago

In a class full of men and women, 5/9 of the class are women. What is the ratio of men to women in its simplest form?

andrew-mc [135]

Answer:

4/5

Step-by-step explanation:

5x are women

9x are full class

9x - 5x = 4x

4x are men

$\frac{4x}{5x} = \frac{4}{5}$ is the ratio of men to women in its simplest form

Hope this helps ^-^

3 0

3 years ago

What is 4r+9r-11r+7r please im not trying to fail

kaheart [24]

Answer:

Step-by-step explanation:

combine like terms in PEMDAS order. Add 4, 9, and 7, then, subtract 11.

5 0

2 years ago

Read 2 more answers

What is the explicit formula for this sequence? ​

What is the explicit formula for this sequence?