I know the answer to these questions, but want to know how.
#1 The 10th term of the expansion of (x-(1/2))^n is -(1001/256)x^5
The answer is 14. How do we get this? (I got it through trial and error, but I'm sure there is an easier way...)
#2 Which term in the expansion of ((1/(2x^2)) - x^3)^10 is a constant?
The answer is the 5th term.
I used trial and error for this one too. Though I"m sure there is an easier way too.
I'm having trouble understanding the sigma notation for this. It's been a while since we did this and I lent my math binder to my friend to help him, thinking I would not need it for this.
Can someone help me understand how to do the binomial theorem for this? I'm a quick learner.