Question

What type of sequence is this: an = 4 * 3(n-1)

Answer 1

The given sequence is an arithmetic sequence with a constant difference of 3 between consecutive terms.

Step-by-step explanation:

The given sequence, an = 4 * 3(n-1), represents an arithmetic sequence.

An arithmetic sequence is a sequence in which the difference between consecutive terms is constant. In this case, the difference between each term is 3. For example, when n = 1, the first term is 4 * 3(1-1) = 4, and when n = 2, the second term is 4 * 3(2-1) = 12, which is 3 greater than the first term. This pattern continues for all values of n, indicating that it is an arithmetic sequence.

Answer 2

geometric sequence.

Step-by-step explanation:

Given the sequence an = 4 * 3(n-1)

The type of sequence written in this form is a geometric sequence. It is expressed Mathematically as;

an = ar^n-1

On comparison, we can see that;

a = 4

r = 3

a is the first term]

r is the common ratio