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Resolver
De acuerdo a la fórmula de suma de series geométricas se tiene
r = 14 / 1/2 = r
a1 = 1/8
Sn = 127/8
n = ?
despejando n, queda
128 2
64 2
32 2
16 2
8 2
4 2
2 2
1
se deduce que n = 7
en este caso x = 7, respuesta
se demuestra
1/8 + 1/4 + 1/2 + 1 + 2 + 4 + 8 = 127/8
15 + 1/8 + 2/8 + 4/8 = 127/8
15 + 7/8 = 127/8
127/8 = 127/8
Espero te sirva