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Nostrana [21]
3 years ago
15

Use sigma notation to represent the sum of the first seven terms of the following sequence: 4, 10, 16, … the summation from n eq

uals 1 to 7 of negative 4 plus 6 times n the summation from n equals 1 to 7 of 4 plus 6 times n the summation from n equals 1 to 7 of 2 plus 6 times n the summation from n equals 1 to 7 of negative 2 plus 6 times n
Mathematics
1 answer:
Dominik [7]3 years ago
6 0

\bf 4~~,~~\stackrel{4+6}{10}~~,~~\stackrel{10+6}{16}~~,~~...~\hspace{10em}\stackrel{\textit{common difference}}{d = 6} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=4\\ d = 6 \end{cases} \implies a_n=4+(n-1)6 \\\\\\ a_n=4-6+6n\implies a_n=6n-2~\hfill \displaystyle\boxed{\sum\limits_{n = 1}^{7}~6n-2}

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Answer:

10 ft²

Step-by-step explanation:

Recall that the volume of a uniform cylinder may be defined by the formula:

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In our case we are given

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Substituting these known values into the formula gives:

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Answer:

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Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

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x-coordinate of midpoint = --------- = -3/2 = -1.5

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y-coordinate of midpoint = ---------- = -4.5

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The midpoint of this line segment is (-1.5, -4.5).

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2 years ago
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<h3>Answer:</h3>

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<h3>Explanation:</h3>

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Step-by-step explanation:

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