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15-06-2019
Mathematics

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find the sum of 20 + 14 + 8 + ... + (-70)

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Danutz98 Danutz98

15-06-2019

Answer:

-400

Step-by-step explanation:

20 + 14 + 8 + ... + (-70) =

= (-6·1+26)+(-6·2+26)+(-6·3+26)+...+(-6·16+26) =

= -6·(1+2+3+...+16)+26·16 =

= -6·16·17/2+26·16 =

= -6·8·17+26·16 =

= -816+416 =

= -400

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