SOLUTION: Use mathematical induction to prove the formula. formula: https://s11.postimg.org/ibmz0jczn/math16.png

Question 1081848: Use mathematical induction to prove the formula.
formula: https://s11.postimg.org/ibmz0jczn/math16.png
Found 2 solutions by math_helper, ikleyn:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

�
Assume (*)
What is ?
It is the previous sum plus 3*(k+1):

<<<� <<< DONE (same form as (*) )
�
If the above is not clear, let h=k+1, then which should make it clear.
Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
.
On mathematical induction, see the lessons
    - Mathematical induction and arithmetic progressions
    - Mathematical induction and geometric progressions
    - Mathematical induction for sequences other than arithmetic or geometric
    - Proving inequalities by the method of Mathematical Induction

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Method of Mathematical induction".

RELATED QUESTIONS
USE PRINCIPLE OF MATHEMATICAL INDUCTION TO PROVE THE FORMULA 1(1!) + 2(2!) + 3(3!)... (answered by Edwin McCravy)
use mathematical induction to prove the summation formula: {{{sum((4i-1),1=1,n)}}} =... (answered by Edwin McCravy)
Which is the best next step in this mathematical induction? Mathematical induction:... (answered by estron7)
Which is the best next step in this mathematical induction? Mathematical induction:... (answered by estron7)
Which of the following shows the best next step to prove the following by mathematical... (answered by ikleyn)
Consider an angle in standard position that's {{{ r = 12 }}} centimeters, which is... (answered by CubeyThePenguin)
use mathematical induction to prove the summation of  i=1... (answered by KMST)
Use mathematical induction to prove the following. N^3 < or = (N+1)^2 ; N> or =... (answered by ikleyn)
Use mathematical induction to prove the assertion: 2+4+6+...+2n=n^2+n a. true b.... (answered by Edwin McCravy)