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pogonyaev
3 years ago
12

Help with math problem- finding first four terms of a sequence with a factorial. An=2(n+1)!

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

a_1=2\cdot(1+1)!=2\cdot2!=2\cdot1\cdot2=\boxed{4}\\\\ a_2=2\cdot(2+1)!=2\cdot3!=2\cdot1\cdot2\cdot3=\boxed{12}\\\\ a_3=2\cdot(3+1)!=2\cdot4!=2\cdot1\cdot2\cdot3\cdot4=\boxed{48}\\\\ a_4=2\cdot(4+1)!=2\cdot5!=2\cdot1\cdot2\cdot3\cdot4\cdot5=\boxed{240}

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a rectangular fish tank hold 12 fish, A round fish tank hold 3 fish. How many times as many fish dose the rectangular tank hold
ch4aika [34]

Answer:

4 times

Step-by-step explanation:

You divide 12 by 3

5 0
3 years ago
Consider the initial value problem y'' + 49 y = cos(7t), y(0) = 9, y'(0) = 6. a. Take the Laplace transform of both sides of the
choli [55]

Answer:

35/49/50

Step-by-step explanation:

3.5/7.8/4.9=50

3 0
3 years ago
In the diagram, point O is the center of the circle and mADB = 43°. If mAOB = mBOC, what is mBDC?
Vanyuwa [196]
The answer is B) 43<span>°
Angle ADB is an inscribed angle which means arc AB has an angle twice that of angle ADB. The angle of the arc would be the same as that of the central angle AOB. So, mAOB = 86</span>°. And since, mAOB = mBOC, then mBOC = 86° and arc BC has a measure of 86° as well. Angle BDC intercepts the arc BC which means half of the angle of arc BC is mBDC. So, mBDC = 43<span>°.</span>
7 0
3 years ago
Read 2 more answers
30 POINTS! Please help with this goemtery question.
n200080 [17]

Answer:

(28*12)-(18*5) or 246 meters squared

Step-by-step explanation:

It is actually easy really, all you have to do is find the area of the larger polygon (28*12) or 336 and subtract the smaller polygon (18*5) or 90 and subtract it from the larger polygon getting you 246 meters squared

3 0
4 years ago
There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run, How many runs can we paint?
nadya68 [22]

There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run. To find the amount of runs you can paint, you have to divide the total by the amount for each run.

7 \div \frac{5}{9}

When dividing fractions, you have to keep, change, and flip.

Keep\ 7 \\ Change\ \div\ to\ \times \\ Flip \frac{5}{9} = \frac{9}{5}

Your new equation is:

7 \times \frac{9}{5}

Multiply:

7 \times \frac{9}{5} = \frac{63}{5} = 12 \frac{3}{5}

You can paint 12 \frac{3}{5} or 12.6 runs.

4 0
3 years ago
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