Learn how to write the first five terms of a sequence by plugging in their values

The video tutorial explains how to calculate the first five terms of a sequence defined by a_n = 1/2 * n^3 + 1. The instructor demonstrates the process of substituting values for n, applying the order of operations, and handling fractions. Each term is calculated step-by-step, emphasizing the importance of consistent denominators when adding fractions. The tutorial covers the calculations for n=1 to n=5, providing both fractional and decimal results where applicable.

What is the first term of the sequence when n = 1?

• 3

• 2

• 1.5

• 1

How do you calculate the second term of the sequence when n = 2?

• 1/2 * 2^3 + 1

• 1/2 * 2^3 - 1

• 1/2 * 2^2 + 1

• 1/2 * 2^2 - 1

What is the third term of the sequence when n = 3?

• 31/2

• 25/2

• 29/2

• 27/2

What is the fourth term of the sequence when n = 4?

• 32

• 33

• 34

• 35

What is the fifth term of the sequence when n = 5?

• 131/2

• 125/2

• 127/2

• 129/2