Write the rule for the sequence: 1/64, 1/32, 1/16, 1/8

Answer 1

1 2 3 4

1/64 1/32 1/16 1/8

2^(n-1)/ 64 Try it out.

Answer 2

The denominator is halved for every term after the first, or each term is multiplied by two after the first term.

Recursive form:

a_n = 2a_n-1

Closed form:

a_n = 2^n-1a₁ = 2^n-1/64