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3 years ago

What is the eighth term in the arithmetic sequence defined by the explicit formula

Mathematics

2 answers:

aivan3 [116]3 years ago

6 0

2*8+7=23.....................

RideAnS [48]3 years ago

5 0

Answer:

Find out the what is the eighth term in the arithmetic sequence defined by the explicit formula.

$a_{n} = 2n + 7$

To prove

As given the explicit formula for the arithmetic sequence .

$a_{n} = 2n + 7$

Put n = 8

$a_{8} = 2\times 8 + 7$

$a_{8} = 16 + 7$

$a_{8} = 23$

Therefore the eighth term in the arithmetic sequence is 23 .

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telo118 [61]

Answer:

The correct answer B) The volumes are equal.

Step-by-step explanation:

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Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

$\int\limits^2_0 {pi - pix^{2} } \, dy = \int\limits^2_0 {1 - y^{2}/4 } \, dy$

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.

7 0

2 years ago

The limit as x-approaches 3 of f(x) is x-3 over x squared -9

Luden [163]

notice that the denominator can be factored into (x-3)(x+3).

Now you can cross out (x - 3) from the numerator and denomiantor resulting in a simplified fraction of $\frac{1}{x+3}$

Plug the limit value (which is 3) into the simplified fraction.

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4 0

2 years ago

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jeka57 [31]

Step-by-step explanation:

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your simplified expression is <u>42m + 49</u>. i hope this helps! have a great day <3

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2 years ago

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2 years ago

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Sever21 [200]

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2 years ago