Question

How many geometric sequences of two or more positive integers begin with 1 and end with 1,024?

Answer 1

1,024 = 2^10

Factors of 10: 1, 2, 5, 10

There are four geometric sequences that begin with 1 and end with 1,024:

1, 1,024

1, 32, 1024

1, 4, 16, 64, 256, 1,024

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1,024