Saving per cents

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

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=667.95=667.95  eur a_{ 1 } = 0.01 \ \\ a_{ 2 } = 0.01 \cdot \ 365 = 3.65 \ \\ x = \dfrac{ a_{ 1 }+a_{ 2 } }{ 2 } \cdot \ 365 = \dfrac{ 0.01+3.65 }{ 2 } \cdot \ 365 = \dfrac{ 13359 }{ 20 } = 667.95 = 667.95 \ \text{ eur }

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why tho

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