Calculus

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

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  1. 50 + 100 + 150 etc is discrete is an arithmetic series with d = 50 cents

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