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Soloha48 [4]
3 years ago
13

Determine the explicit formula for the following arithmetic sequence. Put it in the form

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

Tn=5n+2

Step-by-step explanation:

Tn=5n+2

T30=5*30+2

T30=150+2

T30=152

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Answer:

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Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

Thus, the answer is 15 miles.

Hope this helps!

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