Let q0,q1,⋯ be a sequence of integers such that
a) for any m>n, m \minus{} n is a factor of q_{m} \minus{} q_{n},
b) item ∣qn∣≤n10 for all integers n≥0.
Show that there exists a polynomial Q(x) satisfying q_{n} \equal{} Q(n) for all n. algebrapolynomialinequalitiesfunctionnumber theoryleast common multipleabstract algebra