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sasho [114]
2 years ago
15

Use summation notation to write the series 6.6 + 15.4 + 24.2 + ... for 5 terms

Mathematics
2 answers:
kap26 [50]2 years ago
7 0
4 sigma n-0 (8.8+6.6n)
vesna_86 [32]2 years ago
3 0

Answer:

For the first five terms of given series  6.6 + 15.4 + 24.2 + ... we can write it as  \sum _{n=1}^5\left(-2.2+8.8n\right)

Step-by-step explanation:

 Given series  6.6 + 15.4 + 24.2 + ...

We have to write the summation notation to write the series  6.6 + 15.4 + 24.2 + ...   for 5 terms

Consider the given series  6.6 + 15.4 + 24.2 + ...  

We will find a pattern for the  given series

6.6 can be written as (-2.2+8.8(1))

15.4 can be written as (-2.2+8.8(2))

24.2 can be written as (-2.2+8.8(3))

And so on

Thus, for the first five terms, we can write it as  \sum _{n=1}^5\left(-2.2+8.8n\right)

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then pick a point in either side of the line. If that point is a solution of the inequation, than color that region of the line, if that point is not a solution, then color the other part of the line.

we do the same for the second inequation. Then the solution, is the region of the x-y axes colored in both cases.

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let's use the point P(3, 3) to see what region of the lines need to be coloured:

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The graph representing the system of inequalities is the region colored both red and blue, with the blue line not dashed, and the red line dashed.



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