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jonny [76]
3 years ago
6

Coach damion notices that some of his football players drink more water than others

Mathematics
1 answer:
leva [86]3 years ago
4 0

Answer: MAKE EM" RUN!!!!!!!

Step-by-step explanation: LOL

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How is the series 5+11+17…+251 represented in summation notation?
NISA [10]

Answer:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

Step-by-step explanation:

Given:

  • Series 5+11+17+...+251

To find:

  • Summation notation of the given series

Summation Notation:

\displaystyle \large{\sum_{k=1}^n a_k}

Where n is the number of terms and \displaystyle \large{a_k} is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

  • Arithmetic Series

A series that has common difference.

  • Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

  • 11-5 = 6
  • 17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

\displaystyle \large{a_n=a_1+(n-1)d}

Where \displaystyle \large{a_n} is the nth term, \displaystyle \large{a_1} is the first term and \displaystyle \large{d} is the common difference:

So for our general term:

\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}

And for number of terms, substitute \displaystyle \large{a_n} = 251 and solve for n:

\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}

Now we can convert the series to summation notation as given the formula above, substitute as we get:

\displaystyle \large{\sum_{n=1}^{42}(6n-1)

5 0
2 years ago
Find a number that is between 8/11 and 0.85(repeating) .
professor190 [17]
The answer is C. If you have any questions then leave a comment. Good luck!
7 0
3 years ago
The average diameter of a tree is measured over time. The equation y=3/5x, where x is the time in years and y is the diameter in
Fantom [35]
Your answer is b so there you go have a great day!!!!
4 0
3 years ago
What is 9.946327812 to 1dp?
stepladder [879]
-- 'Truncated' to one decimal place, it's 9.9 ,

-- 'Rounded' to one decimal place, it's 9.9 .

(These two operations don't always produce the same result.)
7 0
3 years ago
Mr. Green washed
olga_2 [115]

Answer:

What was the original number??

Step-by-step explanation:

7 0
3 years ago
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