Question

A. Determine whether the sequence is an addiction pattern, a multiplication pattern, or neither.

B. Write a rule that gives a method for determining subsequent terms in the sequence explain what each part of the pattern rule represents.

C. Give the next term in the sequence.

D. Give the 10th term in the sequence

Answer 1

A. The volume of cubes is neither an additive nor a multiplication pattern.

B. 2³, 4³, 6³ , ...... is the sequence.

C. 512 cubic units.

D. 8000 cubic units.

Explanation:

A. If we consider the side length of each cube then it is increasing in the sequence, 2, 4, 6,......., which is an addition pattern but if we consider the volume of each cube then the sequence is 8, 64, 216,......., which is neither an additive nor a multiplication pattern.

B. The first cube volume = 2³ = 8 cubic units.

The second cube volume = 4³ = 64 cubic units.

And the third cube volume = 6³ = 216 cubic units.

Therefore, the length of each cube is increasing by 2 units.

C. the next term in the sequence is 8³ = 512 cubic units.

D. The 10th term in the sequence is [2 + (10 - 1)2]³ = 20³ = 8000 cubic units. (Answer)