Originally Posted by

**darksoulzero** Hey guys, I have a question where the book asks me to produce a pattern after observing the difference in the changing numbers. This completely stumped me. Here's the question:

The numbers 1, 8, 27, and 64 are the first 4 cubes.

**a)** Find the sum of the first 2 cubes. 9

**b)** Find the sum of the first 3 cubes. 36

**c)** Find the sum of the first 4 cudes. 100

**d)** Describe the pattern in the sums.

**e)** Use the pattern to find the sum of the first 9 cubes.

So I determined the sums but I couldn't develop an expression that explains the pattern. I already looked at the resulting answer, but I'm not even sure what the hell I'm supposed to do to even get close to the answer. Am I supposed to use trial and error?