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dlinn [17]
3 years ago
15

Write the explicit formula and define the formula please explain and help thanks

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0

Remark

The formula for this series is

t_n = n^2 - 1

Explanation

If the series ends at 288, then the highest value n can have is 17

So you would write t_n = n^2 - 1 {n| 1 ≤ n ≤17}

If you said this to someone, you would say "t_n = n squared minus 1 where n is such that 1 is greater than or equal to 1 or less than or equal  to 17"

Example

What is the 4th term in this series?

t_4 = 4^2 - 1

t_4 = 16 - 1

t_4 = 15


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I need help with this
Angelina_Jolie [31]
Answer: 256

F(8)=512- 768
F(8)= 256
Hopes this helps
3 0
2 years ago
15. (3x + 6) - (3x - 6)
coldgirl [10]

Answer:

12

Step-by-step explanation:

Distribute the negative which would get your 3x + 6 -3x + 6. The 3x would cancel out and you would add 6+6 = 12

6 0
3 years ago
Read 2 more answers
If the area of a baseball diamond (shape of a square) is 8100 ft squared, how would you find the distance from 1st base to 3rd b
Readme [11.4K]

Answer:

  • Exact distance = 90\sqrt{2} feet
  • Approximate distance = 127.2792 feet.

===========================================================

Explanation:

The area of the square is 8100 square feet, abbreviated ft^2.

Apply the square root to find the distance from any base to its adjacent counterpart (eg: from 1st to 2nd base). So we get sqrt(8100) = 90 ft as that side distance. Notice that 90*90 = 8100.

If you were to draw a line from 1st base to 3rd base, then you would split the square into two congruent right triangles. Each right triangle is isosceles (the two legs being 90 ft each).

Use the pythagorean theorem to find the hypotenuse.

a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{90^2+90^2}\\\\c = \sqrt{2*90^2}\\\\c = \sqrt{2}*\sqrt{90^2}\\\\c = \sqrt{2}*90\\\\c = 90\sqrt{2} \ \text{ ... exact distance}\\\\c \approx 127.2792 \ \text{ ... approximate distance}\\\\

The distance from 1st to 3rd base is roughly 127.2792 feet.

5 0
2 years ago
HELP PLZ ANYONE??? I AM VERY STUCK ASAP!!
Katena32 [7]

Answer:

The answer is A

Step-by-step explanation:

When you multiple the numerators across you get 39,283.2 not 39, 832. What this math problem is, is Dimensional Analysis. Its converting one unit of measurement to another

Another example:

Look at the attachment below.

3 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.
charle [14.2K]

Hi there!

We know that RST is an equilateral(all 3 sides the same length) triangle, and is therefore equiangular(all 3 angles the same value).  Therefore, angle S and is equal to one-third of the triangle's angle measure.  

180/3=60

60=7x+4

56=7x

x=8

-AwesomeRepublic  :)

4 0
3 years ago
Read 2 more answers
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