Saving per cents

The first day I save 1 cent and every next day cent more.
How many I saved per year (365 days)?

Correct result:

x =  667.95 eur

Solution:

a1=0.01 a2=0.01⋅ 365=3.65 x=a1+a22⋅ 365=0.01+3.652⋅ 365=1335920=1335920 eur=667.95 eur

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Math student
why tho

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