n is an integer prove algebraically that the sum of (1/2)n(n+1) and (1/2)(n+1)(n+2) is always a square number. note: write your expression in a form that clearly shows a square number.


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 130257 by pete last updated on 23/Jan/21

$n is an integer$ $prove algebraically that the sum of$ $\frac{1}{2} n (n + 1) and \frac{1}{2} (n + 1) (n + 2) is always$ $a square number .$ $note : w r i t e y o u r e x p r e s s i o n i n a f o r m$ $t h a t c l e a r l y s h o w s a s q u a r e n u m b e r .$
Commented by Dwaipayan Shikari last updated on 23/Jan/21

$\frac{1}{2} n (n + 1) + \frac{1}{2} (n + 1) (n + 2) = \frac{1}{2} (n + 1) (n + n + 2) = {(n + 1)}^{2}$
Commented by pete last updated on 23/Jan/21

$thank you sir, very much$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum