Question

What are the next three terms in the sequence: 1, 8, 27, 64, ____, ____, ____?

a. 91, 155, 246
b. 87, 124, 247
c. 97, 142, 253
d. 125, 216, 343

Answer 1

The given sequence consists of cube numbers, with the pattern showing the cubes of 1, 2, 3, and 4. The next three terms are the cubes of 5, 6, and 7, which are 125, 216, and 343, respectively.

Step-by-step explanation:

The sequence given is 1, 8, 27, 64, and to find the next three terms, we observe that the pattern is an ascending series of cube numbers:

• 1³ = 1
• 2³ = 8
• 3³ = 27
• 4³ = 64

The next terms would be the cubes of 5, 6, and 7:

• 5³ = 125
• 6³ = 216
• 7³ = 343

Therefore, the answer is d. 125, 216, 343.