Problem C. 1350. (April 2016)
C. 1350. Define the sequence \(\displaystyle (a_n)\) as follows: \(\displaystyle a_1=1\), and \(\displaystyle a_{n+1}=a_n+4n\) for \(\displaystyle n>0\). Prove that each term of sequence \(\displaystyle (a_n)\) can be expressed as a sum of two consecutive square numbers.
(5 pont)
Deadline expired on May 10, 2016.
Statistics:
92 students sent a solution. 5 points: 66 students. 4 points: 11 students. 3 points: 4 students. 2 points: 5 students. 1 point: 5 students. 0 point: 1 student.
Problems in Mathematics of KöMaL, April 2016