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zepelin [54]
3 years ago
9

Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve

ry day she ___________ her practice time by _________. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation. Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day he _________his gym time by ____________. If he continues this pattern, how many minutes will he spend at the gym on the 5th day? Be sure to fill in the blanks with the words that will create a geometric sequence. Use your scenario to write the formula for the 5th term in your sequence using sequence notation. Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.
Mathematics
1 answer:
Schach [20]3 years ago
3 0
Hello

<span>Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for 10 minutes on Monday. Every day she </span>increases her practice time by 5 minutes. If she continues this pattern, how many minutes will she practice on the 7th day? Be sure to fill in the blanks with the words that will create an arithmetic sequence. Use your scenario to write the function for the 7th term in your sequence using sequence notation.              Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for 20 minutes on Monday. Every day he multiplies his gym time by 10 %. If he continues this pattern, how many minutes will he spend at the gym on the 5th day? Be sure to fill in the blanks with the words that will create a geometric sequence. Use your scenario to write the formula for the 5th term in your sequence using sequence notation. Part 3: Use your scenario from part 2 to write a question that will lead to using the geometric series formula. Use the formula to solve for Sn in your scenario.
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Answer:

(86.2,0) is the x-intercept.

Step-by-step explanation:

You can use the slope formula to figure this one out:

Just use two of the points on the table, any of them will work:

(33,-22)\\(52,-33)

\frac{-22-33}{33-52} =\frac{-55}{-19}=\frac{55}{19}

Now you have the slope of the equation, now using the y-intercept equation you can substitute the variables for point of the table and the new slope.:

(71,-44)\\y=mx+b\\-44=\frac{55}{19} (71)+b

Now just solve for b to get the y intercept:

-44=\frac{55}{19}(71)+b\\-44= \frac{3905}{19} +b\\(-\frac{3905}{19})-44=\frac{3905}{19} +b(-\frac{3905}{19})\\   -\frac{4741}{19}=b

Now you have the y-intercept so you just have to plug in 0 to the y spot and it will calculate the x-intercept.

0=\frac{55}{19}x-\frac{4741}{19}\\(+\frac{4741}{19})0=\frac{55}{19}x-\frac{4741}{19}(+\frac{4741}{19})\\\\\frac{4741}{19}=\frac{55}{19}x\\\frac{\frac{4741}{19}}{\frac{55}{19} }= \frac{\frac{55}{19} x}{\frac{55}{19} } \\\frac{431}{5} =x\\or\\86.2=x

And that's the x-intercept.

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2 years ago
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