In an arithmetic sequence, the di fference of consecutive terms in constant. We consider sequences of integers in which the di fference of consecutive terms equals the sum of the differences of all preceding consecutive terms.
Which of these sequences with a0=2012 and 1\leqslant d = a_1-a_0 \leqslant 43 contain square numbers? modular arithmeticarithmetic sequencealgebra proposedalgebra