Question

Calcula el valor de “E”: E = 3 + 9 + 27 + 81 + … + 2187

Answer 1

Respuesta:

$E = 3 + 9 + 27 + 81 + ... + 2187 \\ E = {3}^{1} + {3}^{2} + { 3}^{3} + {3}^{4} + ... + {3}^{7} \\ E = \frac{ {3}^{7 + 1} - 3 }{3 - 1} \\ E = \frac{ {3}^{8} - 3 }{2} \\ E = \frac{6561 - 3}{2} \\ E = \frac{6558}{2} \\ E = 3279$