Homework Help: 12th grade

Posted by Kathryn on Wednesday, September 22, 2010 at 12:04pm.

prove that the statement 1/5+1/5^2+1/5^3 +...+1/5^n=1/4(1-1/5^n) is true for all positive integers n, write your proof in the space below

12th grade - MathMate, Wednesday, September 22, 2010 at 12:09pm
Hint:
(1-x^n) = (1-x)(1+x+x²+x³+...+x^n-1)

Answer this Question

Related Questions

Math - Prove that the statement: (1/5)+(1/5^2)+(1/5^3)+...+(1/5^n)=(1/4)(...
Algebra II - In an induction proof of the statement 4+7+10+...+(3n-1)=n(3n+5)/2 ...
Algebra II - The problem is:Prove that the statement 1/5+1/5^2+1/5^3+...1/5^n=1/...
Algebra II - The problem is:Prove that the statement 1/5+1/5^2+1/5^3+...1/5^n=1/...
math - 1)Find the third iterate x3 of f(x)=x2-4 for an initial value of x0=2 A)-...
math induction - prove the product of 4 consecutive integers is always divisible...
discrete math - use a direct proof to show that the product of two odd numbers ...
discrete math - 1)prove that if x is rational and x not equal to 0, then 1/x is ...
Math 115 #20 - Label each statement as true or false a. All integers are real ...
Discreet Mathematical Structures - Use proof by contraposition to prove the ...

For Further Reading

First Name:
School Subject:
Answer: