Lesson 6- Sum Problems
neelems
How do we compute the sum for 6.2 or 6.4? I don't even know where to begin
martha2A: Feb. 4, 2015, 9:45 p.m.
For 6.2, you can start by trying to relate it to (x+y)^10. We know that this equals (10 0)x^10y^0 + (10 1)x^9y^1 + . . . + (10 10)x^0y^10. Do you see any similarities between the sum given in 6.2 and the general equation for (x+y)^10?
weisbart: Feb. 5, 2015, 7:37 p.m.
I think martha2A has given the critical hint...
neelems: Feb. 5, 2015, 11:53 p.m.
soo do we plug in values 1 and 2 for x and y respectively, and then get answer 3^10?
weisbart: Feb. 6, 2015, 8:28 p.m.
Exactly! You got it neelems!
rachelobrien: Feb. 6, 2015, 9:09 p.m.
so then how would you do 6.4?
weisbart: Feb. 7, 2015, 11:13 a.m.
Here is a hint: Consider the sum \[(1+1)^{10} + (1-1)^{10}.\]