proof by induction
 👍 0
 👎 0
 👁 97
Respond to this Question
Similar Questions

Math  PreCalc (12th Grade)
If Sn represents the sum of the squares of the first n natural numbers, use proof by induction to find which of the following expressions for Sn is true? A) Sn = n(n − 1)/3 B) Sn = n(2n − 1)/3 C) Sn = n(n + 1)/3 D) Sn = n(n +
asked by Shawna on March 20, 2014 
pre calc
If Sn represents the sum of the squares of the first n natural numbers, use proof by induction to find which of the following expressions for Sn is true? Sn=n(n1)/(3) Sn=n(2n1)/(3) Sn=n(n+1)/(3) Sn=n(n+1)(2n+1)/(3)
asked by ziya on November 27, 2012 
Algebra ASAP
so this is a fill in on a worksheet and I am having difficulty as the ones I inserted are incorrect can anybody help me how to do it all, sorry it's a long problem. Show that 3^2n − 1 is divisible by 8 for all natural numbers n.
asked by Briane Mendez on August 12, 2015 
math
The sum of the first 5 natural numbers is 15 or (5)(6)/2. The sum of the first 21 natural numbers is 231=(21)(22)/2, and the sum of the first 30 numbers is 465. Use inductive reasoning to derive the formula for the sum of the
asked by Gloria on June 11, 2012 
algebra
Are the following true or false? 1. The difference of two natural numbers is always a natural number. 2. The sum of two natural numbers is always a natural number. 3. The quotient of two natural numbers is always a natural number.
asked by Bill on September 7, 2010 
Discreet Mathematical Structures
Use proof by contraposition to prove the following statement: If A is the average of two positive real numbers then one of the two numbers is greater than or equal to A. Proof. Domain: positive real numbers P: A=(x+y)/2 Q: x is
asked by Anna on October 7, 2010 
math
Consider an equilateral triangle with points located at each vertex and at each midpoint of a side. (See picture.) This problem uses the set of numbers {1, 2, 3, 4, 5, 6}. Place one number at each point. Call the sum of the three
asked by al on October 10, 2014 
math
Write two mixed numbers so that all rules are applied: 1. One number is larger than the other by 4 2/3 2. The difference of the numbers is equal to the smaller number. 3. The sum of the numbers is natural number. What are the
asked by john on January 28, 2018 
discrete math
Could someone help me with this induction proof. I know its true. given then any integer m is less than or equal to 2, is it possible to find a sequence of m1 consecutive positive integers none of which is prime? explain any help
asked by Kai on March 26, 2007 
math induction
prove the product of 4 consecutive integers is always divisible by 24 using the principles of math induction. Could anyone help me on this one? Thanks in advance! Sure For induction we want to prove some statement P for all the
asked by zomg on September 14, 2006