MATHEMATICS HIGH SCHOOL

Writing a recursive formula.. 16, 10, 7, 5.5, 4.75...
I know a1 is 16.
But what is the formula? Help. Lol

Answers

Answer 1
Answer:

The recursiveformula for the sequence is:

an = 24/(2ⁿ)+ 4, for n > 1

What is a sequence?

An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).

To find the recursive formula for the sequence 16, 10, 7, 5.5, 4.75..., we need to find the rule that generates each term based on the previous terms.

That is:

a1 = 24/2¹ + 4 = 12 + 4 = 16

a2 = 24/2² + 4 = 6 + 4 = 10

a3 = 24/2³ +4 = 3 + 4 =7

a4 = 24/2⁴ + 4 = 5.5

a5 = 24/2⁵ + 4 = 4.75

We can see that the formula for the sequence is:

a1 = 16

an = 24/(2ⁿ)+ 4, for n > 1

Therefore, the recursive formula for the sequence is:

an = 24/(2ⁿ)+ 4, for n > 1

where a1 is the first term, and each subsequent term is obtained by dividing 24 with the previous term by 2ⁿ and then adding 4.

To learn more about the sequence;

brainly.com/question/21961097

#SPJ3
Answer 2
Answer: a_1=(24)/(2^1)+4=16\n\na_2=(24)/(2^2)+4=10\n\na_3=(24)/(2^3)+4=7\n\na_4=(24)/(2^4)+4=5.5\n\na_5=(24)/(2^5)+4=4.75\n\na_6=(24)/(2^6)+4=4.375\n\vdots\na_n=(24)/(2^n)+4

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What is the solution to the inequality?3x – 11 < –2


A.x < 3

B.x > –3

C.x < –3


D.x > 3

Answers

Hello,

3x-11<-2
==>3x<-2+11
==>3x<9
==>x<9/3
==>x<3
 Answer A

What is the difference of 1,289 and 943?

Answers

1289 -
  943

First last number should be subtracted.
9 - 3 = 6

The second last
8 - 4 = 4

Then first number
2-9 = ?
Since it can't be divided, we have to borrow 10 from the previous number.
12-9 = 3

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A city in the Pacific Northwest has hundreds of sensors along a natural fault line. These sensors are part of an early detection and warning system, and they are constantly recording and storing seismic data for analysis. The sensor data are then used to predict the likelihood of an earthquake occurring at any given moment, how powerful the earthquake(s) will be, and the epicenter within a 15-mile radius. What kind of Big Data usage is this an example of:_______.

Answers

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Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is 1/4 the area of the original square. What was the side length of the original square?A) 1 in.
B) 2 in.
C) 6 in.
D) 12 in.

Answers

Let the side length of the original square be x, then
1/4 x^2 = (x - 3)^2
x^2 = 4(x^2 - 6x + 9) = 4x^2 - 24x + 36
3x^2 - 24x + 36 = 0
3(x^2 - 8x + 12) = 0
x^2 - 8x + 12 = 0
x^2 - 2x - 6x + 12 = 0
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x = 6 or x = 2
but x cannot be 2 since the side length of the smaller square will be negative.

Therefore, the side length of the original square is 6 inches.

PLZ HELP ME IF YOU ARE A MR.BEAST FAN. The sum of 7 and 5 times a number is 48. What are the two numbers? What is the equation and the solution of the question.

Answers

Answer:

I´m not a Mr. Beast fan but the answer is 4. 4*12 (which is the sum of 7 and 5) = 48

The equation is (7+5)x=48

Answer:

i am a big fan here is the answer  (7+5)x=48

Step-by-step explanation:

A hiker walked 12.8 miles from 9:00 am to noon. He walked an additional 17.2 miles from 1:00 pm. What is his average rate for the entire walk, miles per hour?

Answers

(12.8+17.2)/((12-9)+(6-1))
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30/8
15/4
3.75mph
It's been awhile since I've done this type of math but I hope I got it right.
3 miles per hour. Theres 4 hours between 9 am and 12 and another 6 from 1to 6.so ten hours. then 12.8 plus 17.8 thats 30 then 30 divided by ten is 3 miles per hour. Your welcome :)
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