A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)=1

Mathematics High School

A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)=1

Answers

Answer 1

Answer:

a(7) = 21

Step-by-step explanation:

Using the recursive formula and a(1) = 0, a(2) = 1 , then

a(3) = a(2) + 2a(1) = 1 + 2(0) = 1 + 0 = 1

a(4) = a(3) + 2a(2) = 1 + 2(1) = 1 + 2 = 3

a(5) = a(4) + 2a(3) = 3 + 2(1) = 3 + 2 = 5

a(6) = a(5) + 2a(4) = 5 + 2(3) = 5 + 6 = 11

a(7) = a(6) + 2a(5) = 11 + 2(5) = 11 + 10 = 21

Related Questions

What is the area of this figure?
10 cm
7 cm
6 cm
17 cm
10 cm
4cm

Answers

Answer:

285,600

Step-by-step explanation:

I calculated it I am pretty sure I am correct

Answer:

110

Step-by-step explanation:

I split the shape into smaller pieces and got 10 for the width and 7 height I multiplied them and got an area of 70 for the first shape. For the second I got the width of 4 and length of 10 multiply them and you'll get 40. Last add them and you get 110 cm.

can u pls help me with this question

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A is the variable.

44 laps in 7 days = ____ laps in 14 days

Answers

Answer:88

Step-by-step explanation:

Answer:

88?

Step-by-step explanation:

Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency

Answers

If this job pays 1100 a week, in four weeks Cherie would make 4400. If she’s giving a 30% cut to the agency for four weeks, she’d be giving 330 of every weeks paycheck. At the end of those four weeks, she’d end up giving $1,320 to the agency.

Cherie owes the employment agency amount of $1,320.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.

Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.

Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.

So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.

Therefore, she owes the employment agency $1,320.

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ6

On the first day, you pay $5 for 2 boxes of popcorn.
The next day you pay $7.50 for 3 boxes. Are the ratios
equivalant.

Answers

Answer:

10 5

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

First find the unit rate by find the cost per box.

To find the cost per post you will divide the cost by the number of boxes.

5/ 2 = 2.5

7.50/ 3 = 2.5

2.5 is indeed equal to 2.5 so they are equivalent.

p(x) = -2x – 2; Find p(-3)

Answers

p(-3)= -2(-3) -2
p(-3)= 6-2
p(-3)= 4

The answer is p(3)=4

The equation kx² + px + 5 = 0 has repeated real roots. Find k in terms of p

Answers

Answer:

k= -50/p

Step-by-step explanation:

Answer is worked out in the photo above.

When is the slope intercept form only y= mx and not y = mx+b?

Answers

Answer:

No Y-Intercept

Step-by-step explanation:

The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.

What is the value of the expression (0.4)2

Answers

If you meant multiple it’s 0.8 but if you meant to the power of 2 it’s 0.16

what is 4 × 10^2 in scientific notation?

Answers

Answer:

104 = 10 × 10 × 10 × 10 = 10,000

Step-by-step explanation:

In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"

in scientific notation 4 × 10^2

10+x=21 ?

What’s the answer

Answers

Answer:

x=11

Step-by-step explanation:

first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11

These are from the same question

Answers

Answer:

a. 25%

b. 6.5%

c. 20%

Step-by-step explanation:

You're planning on making 7 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). How much breadcrumbs does the recipe call for? It calls for 1 1/4 cups of breadcrumbs. How many meatloafs does the recipe make? It makes 1 meatloaf. How many people can 1 meatloaf feed? It says it serves 8. How big is the canister? It is cylindrical, 3.5 inches across and 7 inches tall. What is the net weight of the contents of 1 canister? 15 ounces. How much does a canister cost? $2.19 How much does a cup of breadcrumbs weigh? I'm not sure, but maybe something from the nutritional label will help. Nutritional label showing the serving size is 1/3 cup (30g), and there are about 14 servings per container.

Answers

Let's first find out how much breadcrumbs we're going to need:
1 3/4 cups → 7/4 cups per meatloaf
7 cups/4 * 1 meatloaf * 7 meatloafs = 49/4 cups of breadcrumbs needed in total.

Now let's find out how many cups are in a canister:
1/3 * 14 = 14/3 cups (we're given 1/3 a cup is a single serving size, and each canister holds about 14 servings)

Here's the algebraic way of solving:
14/3 n ≥ 49/4, where n is the number of canisters needed. I'm using ≥ because we cannot buy only part of a canister. Multiply both sides by 3/14:
14/3 n * 3/14 ≥ 49/4 * 3/14
We can factor out a 7:
n ≥ 7/4 * 3/2
n ≥ 21/8 → 2 5/8
Rounding up, you're going to need three canisters:
28/3 (2 canisters) < 49/4 (needed) < 42/3 (3 canisters)
9 1/3 < 12 1/4 < 14

If (1/4)^2-y, =1 find the value of y

Answers

First you need to do square 1/4, which equals 1/16

1/16 - y = 1

Then you subtract 1/16 on both sides

-y = 1 - 1/16

Then subtract 1/16 from 1

-y = 15/16

Then divide by -1 to make y positive

answer —-> y = -15/16

Need help ??????????????

Answers

Answer: the answer is the first one ,the third one , and the fourth

Step-by-step explanation:5x5 25

15x15 225

PLEASE HELP!!! IS THIS CORRECT???

Answers

Answer:

yes

Step-by-step explanation:

good job, it's correct.

Can someone help me?

Answers

Answer:48miles

solution on the picture

if it's helpful ❤❤❤

THANK YOU

On average, 15% of the patients a certain emergency room receives are uninsured. Let N be the number of patients the emergency room receives until it receives the first uninsured patient of the day. Assume the insurance status of the patients is independent. Find the probability that it takes at least 6 patients until the emergency room receives the first uninsured patient. You may round your answer to the nearest hundredth.

Answers

Answer: 0.44

Step-by-step explanation:

Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must have to earn at least $3500 in a month?

Answers

Answer:

The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Explanation: The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Solution:

The expression to Michael earnings is:

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales 2500

Solve the inequality

Therefore minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

what is the surface area in a square of a cube with a side of 7 inches Long

Answers

Answer:

294

Step-by-step explanation:

7*7=49

49*6=294

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet

B
[tex]2\frac{3}{4}[/tex] feet

C
[tex]5\frac{1}{4}[/tex] feet

D
8 feet

Answers

Answer:

A is the answer

Step-by-step explanation:

I think

A triangle has a base of two to the third power units and a height of chicken fourth power units what is the area of the triangle

Answers

i think you had an auto correct problem

How many solutions does the system have?
x = -6y + 3
5x + 30y = 15
one solution
two solutions
infinitely many solutions
no solution

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

we have: x+6y= 3

5x+30y=15

where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)

Thus, the system has infinitely many solutions.

another approach:

convert to slope-intercept form

y= -1/6x + 1/2

thus, the system has infinitely many solutions.

(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)

A bag contains 49 coins consisting of quarters and dimes. There are 2.5 times as many quarters as there are dimes in the bag. Write a system of equations that models this situation. How many dimes are in the bag?
pls write step by step so that I can understand :)

Answers

Answer:

Dimes = 35

Quarters = 14

Step-by-step explanation:

Let

quarters = q

Dimes = d

Total coins = 49

There are 2.5 times as many quarters as there are dimes in the bag

Dimes = 2.5q

Quarters + Dimes = Total

q + 2.5q = 49

3.5q = 49

q = 49/3.5

q = 14

d = 2.5q

= 2.5 * 14

= 35

d = 35

Therefore,

Dimes = 35

Quarters = 14

Answer:

The system of equations that models this equation area:

d + q = 49

q = 2.5d

does anyone know how to do this? If so can you please help me?!

Answers

4*4*4*4 so basically putting 4 in 5 groups

Please help... please

Answers

i don’t know maybe 13?

The answer is 12!!! You can tell this by looking at the smaller scale of the triangle. The width is twice as long as the length.

Comparing Methods to solving systems.

x -y =-2
7x +2y =-5

Solve it by graphing method

Answers

Answer:

[tex]x = - 1 \\ y = 1[/tex]

Step-by-step explanation:

[tex]x - y = - 2 [/tex]

[tex]x = y - 2[/tex]

[tex]7x + 2y = - 5[/tex]

[tex]7(y - 2) + 2y = - 5 \\ [/tex]

[tex]7y - 14 + 2y = - 5[/tex]

[tex]9y = 14 - 5[/tex]

[tex]9y = 9[/tex]

[tex]y = \frac{9}{9} = 1[/tex]

[tex]x = y - 2 = 1 - 2 = - 1[/tex]

WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP

Answers

Answer:

Step-by-step explanation:

The answer is B because the slope is [tex]\frac{4}{1}[/tex] and there is no y- intercept

Answer:

Step-by-step explanation:

It starts from 32 on the y-axis and goes up 4 times on x-axis.

I need the angle of elevation

Answers

Answer:

multiply and see what you get

I don’t understand this

Answers

Answer:

your just finding area so

1.5×2.5=

1.5×1.5/2=

1.5×2.5=

I will put the answers in the comments I need to use a calculator

Answer:

Step-by-step explanation:

Think of it as two rectangles and one triangle.

The first rectangle is 1.5 * 2.5 = 3.75 square feet.

There is two of these rectangles, so you can do 3.75 *2 = 7.5 square feet.

Finally, the triangle is 1.5 by 1.5, so the area is 1.5 * 1.5 / 2 = 1.125.

To find the total area, add the two together: 7.5 + 1.125 = 8.625 square feet

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