An arithmetic sequence has this recursive formula. a1=9 and 1-3 .

Answers

Answer 1

The required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

Given, an arithmetic sequance is given in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex] .
Explicit formula for the sequence is to be determined.

What is arithmetic progression?

Arithmetic progression is the sequence of numbers that have common differences between adjacent values.
Example, 1, 2, 3, 4, 5, 6. this sequence as n = 6 number with a = 1 (1st term) and common differene d = 2- 1 = 1.

Given arithmetic sequance is in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex]
From above expression
[tex]a_n-a_{n-1}= -3[/tex]
common difference (d) = -3
with d = -3 and [tex]a_1 = 9[/tex]
The equation for the nth term in an arithmetic sequence is given by
[tex]a_n =a +(n-1)d[/tex]
[tex]a_n = 9 +(n-1)(-3)[/tex]
The above expression is the explicit form of the arithmetic equation.

Thus, the required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.

Learn more about arithmetic progression here:
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Related Questions

What is the image of (-1, 1) after a dilation of 2?
O (1.3)
O (2.2)
O (-22)

Answers

Answer:

(-2, 2)

Step-by-step explanation:

When an image is dilated by a factor of 2, we can simply multiply the x and y coordinates by 2.

Therefore, the coordinates will become (-2, 2).

The surface inside the circles will be painted green. The surface outside the circles will be painted white. What is the ratio of green paint to white paint you will need to paint these tiles? \((\pi^2-4):\pi^2\) a \(\pi^2:(\pi^2-4)\) b \(\pi:(4-\pi)\) c \((4-\pi):\pi\) d

Answers

Answer:

B, π:(4-π).

Step By Step:

With a side of length 12, we have an area of 144. The circle's radius is 3, so their area is 9π, per circle. All four circles have a total combined area of 36π - green. The area that is left of the square after the circles are painted green is 144-36π - White

So, the ratio of Green:White is (36π) : (144-36π), which simplifies to π:(4-π), B

Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!!

Answers

First the difference between the perimeter and area is that area is the amount of space inside a shape, and perimeter is the distance around the shape
^thats what they measure
And since perimeter is a length or distance, the unit of measure is inches, feet, yards, or miles. The area is usually found by doing l x w
Hope this helped

a family of 8 has 3 of them being males what proportion of the family is female

Answers

Answer: not very sure but i think that may be 5

Step-by-step explanation:

I think it is 5 idk I could be wrong

Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with the least amount remaining?

Answers

The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.

Which Length of ribbon renders the least remainder?

It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;

For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.

For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.

1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.

Answers

Answer:

Correct option: C.

(Both Joey and Nolan)

Step-by-step explanation:

The step Joey did is:

Add 7x to both sides of the equation

Then, he got:

13x - 42 + 7x = 18 - 7x + 7x

20x - 42 = 18

The step Nolan did is:

Add 42 to both sides of the equation

Then, he got:

13x - 42 + 42 = 18 - 7x + 42

13x = 60 - 7x

So both of them used correctly the addition property of equality in the first step of their work.

Correct option: C.

Mehmut is 4 times as old as his brother, but
next year he will be only 3 times as old. Find
Mehmut's age now?
ALICIA CONYERS
7:20 AM

Answers

Answer:

Mehmut is 8 years old.

Step-by-step explanation:

From the statement we can get the following information, let M be Mehmut's age and b brother's age:

M = 4 * b

M + 1 = 3 * (b + 1)

We replace the first equation in the second and we are left with:

4 * b + 1 = 3 * b + 3

4 * b - 3 * b = 3 - 1

b = 2

Now, we replace to calculate M:

M = 4 * b

M = 4 * 2

M = 8

Mehmut is 8 years old.

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