Exercício 5

Algebra Level pending

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = ? \large 1+2+3+4+5+6+7+8+9+10 = \, ?


The answer is 55.

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Rodrigo Raffa by Rodrigo Raffa , 27, Brazil

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2 solutions

Viki Zeta
Oct 1, 2016

S = 1 + 2 + 3 + 4 + … + 10 S = 10 + 9 + 8 + 7 + … + 1 2 S = 11 + 11 + 11 + 11 + … + 11 2 S = 10 × 11 S = 5 × 11 S = 55 S = 1 + 2 + 3 + 4 + \ldots + 10 \\ S = 10 + 9 + 8 + 7 + \ldots + 1\\ 2S = 11 + 11 + 11 + 11 + \ldots + 11 \\ 2S = 10 \times 11 \\ S = 5 \times 11 \\ S = 55

2 Helpful 0 Interesting 0 Brilliant 0 Confused

10 + (1+9) + (2+8) + (3+7) + (4+6) + 5 = 10 + 10 + 10 + 10 + 10 + 5 = 55

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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