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soldi70 [24.7K]
3 years ago
7

Find the 7th term of the geometric sequence: 4, 14, 49, ...

Mathematics
1 answer:
belka [17]3 years ago
6 0

Answer:

Step-by-step explanation:

a_2=a_1*r=>14=4*r=>r=\frac{7}{2}\\a_n=a_1*r^{n-1}=>a_7=a_1*r^{7-1}=4*(\frac{7}{2})^6=\frac{117649}{16}\\\\a_7=\frac{117649}{16}

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The formula to find the perimeter of a rectangle is P = 2l + 2w. Solve for w.
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Answer:

W =<u> P - 2L </u>

         2

Step-by-step explanation:

perimeter P = 2L + 2W

P - 2L = 2W

W =<u> P - 2L </u>

         2

4 0
3 years ago
HELP PLEASE!!!
Stells [14]
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For which value of c is the line y=3x+c a tangent to the parabola with equation y=x^2-5x+7
katrin2010 [14]
To give you a context on the problem, a tangent line is a line that intersects the parabola only at one single point. A parabola is a curve that forms an arc-shaped figure. A tangent line to a parabola is shown in the attached picture.

Now, we apply the concepts in calculus and analytical geometry. The first derivative of the equation is equal to the slope at the point of intersection. This slope must be equal to the slope of the tangent line. 

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Since tangent lines must have the same slope with what they intersect with, we can determine the slope from the equation: y = 3x + c. This is already arranged in a slope-intercept form, where 3 is the slope and c is the y-intercept. So, we can equate the equation above to 3.

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Therefore, the point of intersection is at (4,3). Now, we use it to the equation of the tangent line to find c.

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3 0
3 years ago
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Value of nth term = 62,500

4 0
4 years ago
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BARSIC [14]

Answer:

2 1/3

Step-by-step explanation:

You divide 3 1/2 by 1 1/2

7 0
3 years ago
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