Question

Consider the sequence an = n² (n * 2) find a1

Options:
A. "The initial term a1 of the sequence is obtained by plugging in n = 1, resulting in a1 = 2."
B. "To find a1 in the sequence, substitute n = 1, yielding a1 = 2n."
C. "The first term a1 in the sequence is calculated as a1 = 1² (1 * 2) = 2."
D. "By evaluating the expression for n = 1, the initial term a1 in the sequence is determined as 2."

Answer 1

The first term of the sequence a1, when n = 1, is calculated as a1 = 1² * (1 * 2) = 2.

Step-by-step explanation:

To find the initial term a1 of the sequence an = n² (n * 2), we need to substitute n = 1 into the given formula. When we do this, we calculate the term as follows:

• a1 = 1² * (1 * 2)
• a1 = 1 * 2
• a1 = 2

Therefore, the first term a1 in the sequence is 2.