Using Recursive/Explicit

A recursive sequence is a sequence in which each term is defined as a function of one or more of its preceding terms.

An explicit formula defines the nth term of a sequence directly in terms of n, without referencing previous terms.

The common ratio (r) is found by dividing any term by the previous term in the sequence.

The nth term can be found using the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

r = -1/4.

The next three terms are 324, 972, 2916.

The first three terms are -3, -9, -27.

a_n = a_{n-1} * -3, a_1 = 2.

The recursive formula is a_n = a_{n-1} * r.

The first term (a_1) is 2.