anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@peachpi
anonymous
  • anonymous
Pick numbers for the 1st and 3rd blanks. For the second since it's geometric, you want it to be a multiplier so use a word like halves, doubles, triples, etc.
anonymous
  • anonymous
Wait no. You only need a number for the first blank. For the second it will still be increases/decreases. For the third use half, double, triple

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More answers

anonymous
  • anonymous
Ok so Anthony goes to the gym for 30min everyday he increases his time by half an hour
anonymous
  • anonymous
Wait did that even make sense what I just said
anonymous
  • anonymous
He increases his time by half an hour
anonymous
  • anonymous
Increasing by half an hour would make it an arithmetic sequence because 30 minutes is a fixed amount. You can say he increases his time by double. So he'd do it for 30 minutes the first day, 60 the second, 120 the third and so on. The constant multiplier is what makes it geometric
anonymous
  • anonymous
Arithmetic (adding 30 everyday) day 1 = 30 day 2 = 60 day 3 = 90 day 4 = 120 Geometric (doubling everyday) day 1 = 30 day 2 = 60 day 3 = 120 day 4 = 240
anonymous
  • anonymous
does that make sense to you?
anonymous
  • anonymous
So your basically multiplying by 20
anonymous
  • anonymous
multiplying by 2
anonymous
  • anonymous
Oh yeah sorry that was dumb so that's all you do until you get the answer for day 5
anonymous
  • anonymous
Well yeah for day 5 it's going to be 480. Do they want to see you set up the geometric formula like you had to do for the last one?
anonymous
  • anonymous
Yes that's the part the I don't understand is how to set it up
anonymous
  • anonymous
\[a_n=a_1r^{n-1}\] That's the formula for a geometric sequence. a1 = 30, the number on the first day. r = 2 because that's what we're multiplying by Plug them in to get the general formula
anonymous
  • anonymous
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. This is the one where they ask for the formula and to create a scenario to solve
anonymous
  • anonymous
The scenario will be something like how many minutes total did he spend at the gym for the first ___ days. Then you can pick the number of days and use the geometric sum formula. Pick a number while I look that one up
anonymous
  • anonymous
The sum of the first n terms of a geometric series is \[S_n=a_1\frac{ 1-r^n }{ 1-r }\]
anonymous
  • anonymous
a_1 = 30, r = 2 from above. And n = the number of days
anonymous
  • anonymous
Ok I will start solving to see what I get
anonymous
  • anonymous
Ok I got s=210/n I choose 3 for the number of days
anonymous
  • anonymous
yes, that's right.
anonymous
  • anonymous
Thanks you so much for helping I'm taking an Alegebra class online and there's this project which were the questions I asked because I submitted it the first time and I got a 70% and the second a 30% so this is my last time right now I have a low C in the class and the project counts as 3 test grades which could help boost up my grade a lot plus I need to pass the class with a A or B to get into the high school I want to go to I really suck at math
anonymous
  • anonymous
Could you help me with 2 more questions if you can
anonymous
  • anonymous
Well good luck. You seem like you've got a solid understanding :).
anonymous
  • anonymous
I've got to log off for a while, but post them. I'll be on later and I'll look for them. I'll give it a go if no one else answers.
anonymous
  • anonymous
Ok thank you
anonymous
  • anonymous
you're welcome.

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