Given that the sequence an is an arithmetic sequence, CN = an ^ 2-A (n + 1) ^ 2 (1) judge whether the sequence cn is an arithmetic sequence, and explain the reason Detailed process

Given that the sequence an is an arithmetic sequence, CN = an ^ 2-A (n + 1) ^ 2 (1) judge whether the sequence cn is an arithmetic sequence, and explain the reason Detailed process

yes
Let d be the tolerance of an
Cn=(An-A(n+1))(An+A(n+1))=-d*(An+A(n+1))
C(n+1)-Cn=-d*(A(n+2)-An)=-2d^2 n=1,2...
It's an arithmetic sequence