Question

calcule as somas do termo de pg: (4,8,..., 2048)​

Answer 1

resolução!

q = a2 / a1

q = 8 / 4

q = 2

an = a1 * q^n - 1

2048 = 4 * 2^n - 1

2048/4 = 2^n - 1

512 = 2^n - 1

2^9 = 2^n - 1

n - 1 = 9

n = 9 + 1

n = 10

Sn = a1 ( q^n - 1 ) / q - 1

Sn = 4 ( 2^10 - 1 ) / 2 - 1

Sn = 4 ( 1024 - 1 ) / 1

Sn = 4 * 1023 / 1

Sn = 4092