You can use sigma notation to represent an infinite series. For example, ∞∑n=110(12)n−1 is an infinite series. The infinity symbol that placed above the sigma notation indicates that the series is infinite. To find the sum of the above infinite geometric series, first check if the sum exists by using the value of r .

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3 years ago

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I put the picture attached

Phantasy [73]

Answer:

120 square inches

Step-by-step explanation:

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3 years ago

(x-8)(x-k) = x^2 - 5kx +m. In the equation above, k and m are constants. If the equation is true for all values of x, what is th

suter [353]

$(x-8)(x-k) = x^2 - 5kx +m\\
x^2-kx-8x+8k=x^2 - 5kx +m\\
x^2-(k+8)x+8k=x^2 - 5kx +m\\\\
-(k+8)=-5k\\8k=m\\\\
-(k+8)=-5k\\
-k-8=-5k\\
4k=8\\
k=2\\\\
m=8\cdot2\\
\boxed{m=16}
$

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3 years ago