Questions: Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n=1. an=2^n

Transcript text: Find the first four terms of the sequence defined below, where $n$ represents the position of a term in the sequence. Start with $n=1$. \[ a_{n}=2^{n} \]

Solution

Solution Steps

To find the first four terms of the sequence defined by $ a_n = 2^n $, we need to evaluate the expression for $ n = 1, 2, 3, $ and $ 4 $.

Step 1: Define the Sequence

The sequence is defined by the formula $ a_n = 2^n $. We will calculate the first four terms of this sequence by substituting $ n $ with the values 1, 2, 3, and 4.

Step 2: Calculate the Terms