SOLUTION: use the principals of mathematical induction to prove the following statement 1+5+5^2+...+5^n-1 = 1/4(5n-1) This is calculus

Question 1104788: use the principals of mathematical induction to prove the following statement 1+5+5^2+...+5^n-1 = 1/4(5n-1)
This is calculus
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
use the principals of mathematical induction to prove the following statement 1+5+5^2+...+5^n-1 = 1/4(5n-1)
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The right hand side is not correct. It should be
Let = partial sum n (where is the highest power in the sum)
Proof by induction:

Assume + � + = is true for n=k.
Now we need to show that that assumption leads to :
+ � +
On the right hand side, all but the last term are really just

DONE.

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