2. Si: f(N) = 3N+7; calcule “M” M = f (1) + f (2) + f (3) +……. + f(40)
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Respuesta:
M = 2740
Explicación paso a paso:
M = 3(1) + 7 + 3 (2) + 7 + 3(3) +7 + ……. + 3(40) +7
M = 3 ( 1+ 2 + 3 + … + 40 ) + 40 (7)
M = 3 (40x41/2) + 280
M = 3 (20 x 41) + 280
M = 3 (820) + 280
M = 2460 + 280
M = 2740
sumatoria de los números naturales N = n (n + 1)/2