SOLUTION: Every day you save two pennies more than you saved the day before. On the first day, you save one penny. How many pennies do you have after 100 days? The answer is 10,000 penn

Question 128033This question is from textbook Prentice Hall Mathematics - Book 3 (Oklahoma)
: Every day you save two pennies more than you saved the day before. On the first day, you save one penny. How many pennies do you have after 100 days?
The answer is 10,000 pennies (or $100.00) I think but I cannot put it into a formula to show it... I can just see the pattern after a few days -- the number of pennies works out to be the number of days squared. I'm looking for how to write the problem (beyond seeing the pattern). This question is from textbook Prentice Hall Mathematics - Book 3 (Oklahoma)

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
this is an arithmetic sequence, the differenc between two consecutive terms is constant (2 in this case)

the sum of the sequence is ((first term)+(last term))(number of terms)/2

sum=(1+199)(100)/2
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