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Meehan98
 one year ago
Help with Geometric Sequences and Series, please!
David gave 10 cents to his daughter on her first birthday. He decided to give her triple the amount on each subsequent birthday. How much money would his daughter have received over a period of 10 years?
Meehan98
 one year ago
Help with Geometric Sequences and Series, please! David gave 10 cents to his daughter on her first birthday. He decided to give her triple the amount on each subsequent birthday. How much money would his daughter have received over a period of 10 years?

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Meehan98
 one year ago
Best ResponseYou've already chosen the best response.1The formula is: \[a _{n}= a _{1} r ^{nr}\]

Meehan98
 one year ago
Best ResponseYou've already chosen the best response.1I keep getting $1968.30, but that's not right. The correct choices are: $2952.40 $51.10 $102.30 $984.10

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Your solution that you came up with should be correct. Hmm thinking...

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1On the `tenth birthday` he gave her 1968.30, you are correct. But that is not the `sum` that he gave her over the period of all those birthdays.

Meehan98
 one year ago
Best ResponseYou've already chosen the best response.1I have a sample problem that has the solution as well if that will help you.

Meehan98
 one year ago
Best ResponseYou've already chosen the best response.1I have a sample problem that has the solution as well if that will help you.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So this problem really is asking this:\[\large\rm \sum_{n=1}^{10} a_1 r^{n1}\]They want you to add up all that money.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Partial sum of a geometric series... mmm im trying to remember the formula >.< hehe

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm \sum_{n=1}^{10} a_1 r^{n1}=a_1\left(\frac{1r^n}{1r}\right)\]Does that formula look familiar? :)

Meehan98
 one year ago
Best ResponseYou've already chosen the best response.1I know the formula; I didn't think about the sum! Thank you!

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1If you only have ONE OPTION over 1968.30, that should help you narrow down your sum quite a bit ;) lol

Meehan98
 one year ago
Best ResponseYou've already chosen the best response.1Yes, so the sum would be: $2,952.40!
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