Geometric Sequences

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

The formula for the nth term of a geometric sequence is a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

To find the common ratio, divide any term by the previous term (r = a_n / a_(n-1)).

No, this sequence is not geometric because the ratio between consecutive terms is not constant.

The 11th term is -0.0625.

The explicit rule is t(n) = 625(1/5)^n.

The common ratio is -1/2.

The first term is 64.

The 5th term is 48.

The general rule is 64(-1/2)^(n-1).