-18, -15, -12,… an EASY way to find the sum of the first 43 numbers?

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How to find the sum of an arithmetic sequence - arithmetic series.

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Thank you very much. very good teaching method and clear writing on board.

ewunetumerera
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Sometimes I have the impression that learning algebra means knowing all the formulas by heart (without being able to prove them) and then apply them. In my time you had to prove those formulas, for example the theorem of Pythagoras etc.

Kleermaker
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Out of curiosity, how is the formula S= 1/2n(2a1 + (n-1)d) proven? In other words, how did you know this was the correct formula? Or am I asking for a lot of trouble here? :)

domenicdurante