# Calculus

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Twins, Pierre and Francesca were each given 100 dollars on their 15th bday. they immediately put ther money into their individual money boxes. Each week throughout the next year they added a portion of their weekly pocket money. Puerre added 10 each week. Francesca added 50 cents the first week, \$1 the next,\$1.50 the next, and so on, addin an extra 50 cents each subsequent week.

Find the amount that each added to their money boxes after 8 weeks

How much did Francesca add to her money box on her 16th bday?

Calculate the total amount they each had in their money boxes after one year

• Calculus -

50 + 100 + 150 etc is discrete is an arithmetic series with d = 50 cents

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