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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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mixas84 [53]

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Step-by-step explanation:

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4 0
2 years ago
Read 2 more answers
The length of an equilateral triangle is increased by 5 cm. The perimeter of the new triangle is 72 cm. What is the side length
Igoryamba

Answer:

19cm

Step-by-step explanation:

An equilateral triangle is a triangle where the length of the 3 sides are the same.

the perimeter is the sum of the 3 sides

for example, if the length of the side of the an equilateral triangle is 5, the perimeter is 5 x 3 = 15

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length after increase = x + 5

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divide both sides of the equation by 3

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6 0
3 years ago
The answer to the question.
Dmitriy789 [7]

Answer:

0-4=-4  -4-9=-13

7 0
3 years ago
Cuanto es (8÷9) 6×19 ?​
ioda
First do 8 divided by 9 = 0.88 x 6 x 19 start from the left and work to the right 0.88 x 6 = 5.33 x 19 = 101.3
7 0
2 years ago
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