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ALGEBRA PLEASEEEEEEE HELP?
2. Tom started off his penny collection with 1 penny. He then adds 5 pennies to his penny collection each day.
a) How could you change the above scenario to make it a geometric series rather than an arithmetic series?
b) Using you geometric series from part a, how many pennies would Tom have in total after 10 days? Show and use a formula to calculate this.
2 Answers
- BryceLv 74 years agoFavorite Answer
a. Each day multilpy the number to add by 5 times the amount of the day before: r=5.
b. A= 1(1 - 5^10)/(1 - 5)= 2,441,406 pennies
- Anonymous4 years ago
For a sequence to be geometric, each term has to be a certain amount of times more than the last term.
So each term could be 2 times more, or 3 times more, or n times more.
So as the days pass, if the only money Tom adds is "n" times more money each day, then the amount of money he would have after the "d"th day is (n)^d. Make sure that you don't get confused between.
For growth to be geometric, each term just has to be a certain amount of times more than the last. So the sum of all the terms is an exponential function. This link explains it better:
Source(s): blessed enough to go to school