SOLUTION: IF x=1+3+3^2+3^3+3^4+3^5+3^6+3^7+3^8+3^9+3^10
then y=3x+1
What is the value of x-y?
Algebra.Com
Question 504502: IF x=1+3+3^2+3^3+3^4+3^5+3^6+3^7+3^8+3^9+3^10
then y=3x+1
What is the value of x-y?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
(I'll use sigma notation to make it more compact)
If
, then
, and
Therefore,
 - \sum_{i=0}^{10} 3^i)
The 3^1, 3^2, ..., 3^10 will cancel, leaving
 - 3^0 = 3^{11})
as our answer.
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