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. ans. 9
b) Find the sum of the first 3 cubes. ans. 36
c) Find the sum of the first 4 cubes. ans. 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?