ALGEBRA PLEASEEEEEEE HELP?

Question

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.

Bryce · Accepted 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

匿名 · Answer

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:
https://www.khanacademy.org/math/algebra2/sequences-and-series/copy-of-geometric-sequence-series/v/geometric-series-introduction

ALGEBRA PLEASEEEEEEE HELP?

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