Idenfity the type of pattern. Then find the next three numbers in the pattern. 4,32,108,256,500

Question

I tried everything you can think of to this question in my math book

Answer 1

Hello, thank you for taking the time to post your question!

Based on the given numbers it looks like the pattern for the sequence is that each number is four times the cube of its position, so you can use the formula 4n^3 to find the next term in the sequence.

The next 3 terms would be the 6^th, 7^th, and 8^th terms in the sequence meaning that you can take

4(6)^3 = 864

4(7)^3 = 1372

4(8)^3 = 2048

to find the next 3 terms

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Hannah.

              If you divide each term by 4 we have 1,8,27,64,125…. this looks like n³ n=1,2,3,….

 

So it looks like a possible sequence is a_n=4n³.

 

Jim