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 Ssubscript(n)

Question

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 Ssubscript(n)

lena772 · Answer

Can you assist me with this one too, @ranga

anonymous · Answer

Do you know what a geometric sequence is?

lena772 · Answer

@agent0smith

lena772 · Answer

A sequence that increases by a certain ratio or percentage

anonymous · Answer

Not necessarily increasing, but otherwise yes. With that in mind, can you think of how to apply that to the gym example with Anthony?

lena772 · Answer

20, increases, 10

anonymous · Answer

"10"?

lena772 · Answer

10 minutes

anonymous · Answer

Can you see how that conflicts with how you defined a geometric sequence? At the moment, what you're describing would be an arithmetic sequence (one that increases or decreases by a fixed amount each time).

lena772 · Answer

10 percent

anonymous · Answer

Yup, that would be a geometric sequence!

lena772 · Answer

soo  how would  make the equation

agent0smith · Answer

Something like this/ If he starts on the first day (n=1) with 10 minutes, and increased it at 10% per day$$\Large 10*(1.1)^{n-1}$$

lena772 · Answer

can someone help me with part 3 plz

lena772 · Answer

@agent0smith

agent0smith · Answer

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 Ssubscript(n)

looks like they want some kind of sum... so something like 
"how much time will he spend at the gym in the first five days?"

lena772 · Answer

Svn=20+(1.10)vn

v=subscript

(my equation button isn't working)

lena772 · Answer

Would that work? @agent0smith

agent0smith · Answer

Yeah i have no idea what that is :P Just use the formula for the sum of a geometric sequence.

agent0smith · Answer

With the equation editor not working, it's pretty difficult to show anything on here