Razonamiento matemático

Page 1

Problema de Razonamiento matemรกtico

En la siguiente figura halle cuantos triรกngulos hay si en total en triรกngulos tiene 35 filas

Fila 1

Fila 2

Fila 3

Fila 4

Fila 5

Fila 6

Fila 7 . . . . Fila 35

Soluciรณn

S(1) = 1(1) = 1

S(2) = 4(1) + 1(4) = 5 = 1 + 4

S(3) = 9(1) + 3(4) + 1(9) = 13 = 5 + 8

S(4) = 16(1) + 6(4) + 3(9) + 1(16) = 26 = 13 + 13

S(5) = 25(1) + 10(4) + 6(9) + 3(16) + 1(25) = 45 = 26 + 19

S(6) = 36(1) + 15(4) + 10(9) + 6(16) + 3(25) + 1(36) = 71 = 45 + 26


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