SOLUTION: Christopher recently won $20,000 in the lottery and decides to save his money in a unique way. He saves $1.00 on the day after he won the lottery. He then saves twice as much as he

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Question 744297: Christopher recently won $20,000 in the lottery and decides to save his money in a unique way. He saves $1.00 on the day after he won the lottery. He then saves twice as much as he did the previous day for a total period of two weeks. How much does Christopher have saved by the end of this time period
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Start with a simple example. What if he saved for only three days? It would be $1, $2, $4. It looks like 2%5En where n is the number of days. But 2%5E1+=2 which is twice the savings on the first day. Adjust the formula to S=2%5E%28n-1%29 - that gives 2%5E2+=+4 on the third day which is correct.


A period of two weeks is 14 days. 2%5E13=8192