Calculate the First Four Terms of n³ Sequence: Cube Number Series

To solve for the first four terms of the series $n^3$, we follow these steps:

• Step 1: Find the first term by setting $n = 1$.
• Step 2: Use the formula $n^3$ to calculate the cube of 1.
• Step 3: Repeat the process for the next three integers: $n = 2, 3,$ and $4$.

Calculations:

Step 1: For $n = 1$ $1^3 = 1$ Thus, the first term is 1.

Step 2: For $n = 2$ $2^3 = 2 \times 2 \times 2 = 8$ Thus, the second term is 8.

Step 3: For $n = 3$ $3^3 = 3 \times 3 \times 3 = 27$ Thus, the third term is 27.

Step 4: For $n = 4$ $4^3 = 4 \times 4 \times 4 = 64$ Thus, the fourth term is 64.

Therefore, the first four terms of the series $n^3$ are: $1, 8, 27,$ and $64$.

The correct multiple-choice answer is: $1, 8, 27, 64$