Find the first four terms of the sequence. a1 = 1, a_n = 4 • a_{n -1}

We will use the concept of sequence and series in order to find the first 4 terms.

Answer: The first four terms of the sequence \(a_{1}\) = 1, \(a_{n}\) = 4 • \(a_{n-1}\) are 1, 4, 16, and 64.

Let us see how we will use the concept of sequence and series in order to find the first 4 terms.

Explanation:

We have been given the first term that is \(a_{1}\) = 1.

The formula for the n^th term is given by \(a_{n}\) = 4 • \(a_{n-1}\)

Second term, \(a_{2}\) = 4 •  \(a_{1}\) = 4(1) = 4 

Third term, \(a_{3}\) = 4 • \(a_{2}\) = 4(4) = 16

Fourth term, \(a_{4}\) = 4 • \(a_{3}\) = 4(16)= 64

Hence, the first four terms are 1, 4, 16, 64...