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dlinn [17]
4 years ago
15

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

Mathematics
1 answer:
schepotkina [342]4 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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HELP ME PLEASE!
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Sounds as tho' you have an isosceles triangle (a triangle with 2 equal sides).  If this triangle is also a right triangle (with one 90-degree angle), then the side lengths MUST satisfy the Pythagorean Theorem.

Let's see whether they do.

8^2 + 8^2 = 11^2  ???
 64    + 64 = 121?  NO.  This is not a right triangle.

If you really do have 2 sides that are both of length 8, and you really do have a right triangle, then:

8^2 + 8^2 = d^2, where d=hypotenuse.  Then 64+64 = d^2, and 

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What is the length of x?
Marat540 [252]

Answer:

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Step-by-step explanation:

We can use the pythagorean theorem to solve this.

The pythagorean theorem is:

a ^{2}  + b^{2}  =  {c}^{2}

a ^{2}  + b^{2} =  c^{2}  \\  {3}^{2}  +  {b}^{2}  = 5^{2}  \\ 9 +   {b}^{2}  = 25 \\  \frac{ - 9 \:  \:  \:  \:  \:  \:  \:  \:  =  - 9}{b ^{2}  =  \sqrt{16} }  \\ b = 4

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0.40 times 5 = 2.00

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