Question

Kim has small wooden cube shaped blocks. To make the next size cube, she needs 8 blocks. Write a sequence to show the number of blocks needed for each increasingly larger cube. Include at least 6 terms in the sequence.

Answer 1

The situation describes a geometric sequence with first term as 1, and the common ratio of 8.

1st term = 1
2nd term = 1 x 8 = 8
3rd term = 8 x 8 = 64
4th term = 64 x 8 = 512
5th term = 512 x 8 = 4,096
6th term = 4,096 x 8 = 32,768