SOLUTION: Use induction to prove that 1*2+2*3+3*4+...+n(n+1)=(n(n+1)(n+2))/3
Algebra.Com
Question 618022: Use induction to prove that 1*2+2*3+3*4+...+n(n+1)=(n(n+1)(n+2))/3
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
n=1 base case is true. Assume it is true for some n = k. Show that it is true for k+1. In other words, show that
 + (k+1)(k+2) = \frac{(k+1)(k+2)(k+3)}{3})
Hint: What is 1*2 + ... + k(k+1)?
RELATED QUESTIONS
Use mathematical induction to prove that:... (answered by stanbon,ikleyn)
Use mathematical induction to prove the following.
N^3 < or = (N+1)^2 ; N> or =... (answered by ikleyn)
Prove by induction
n*1 + (n-1)*2 + (n-2)*3 + ... + 3*(n-2) + 2*(n-1) + 1*n =... (answered by ikleyn)
Prove by mathematical induction
{{{1/(1*2) + 1/(2*3) + 1/(3*4)}}}+ ...+{{{1/n(n+1) =... (answered by Edwin McCravy)
use mathematical induction to prove that the following statement is true for every... (answered by ikleyn)
use mathematical induction to prove that the following statement is true for every... (answered by ikleyn)
Induction Sum:
Prove using mathematical induction that:
1/1*2*3 + 1/2*3*4 + 1/3*4*5... (answered by robertb)
USE PRINCIPLE OF MATHEMATICAL INDUCTION TO PROVE THE FORMULA
1(1!) + 2(2!) + 3(3!)... (answered by Edwin McCravy)
Pls help
USE MATHEMATICAL INDUCTION TO PROVE THAT
(n+1)^n < 2n^2 for all natural... (answered by ikleyn)