An arithmetic sequence is defined recursively by the first term u1and the recursive relation un+1 =un +dProve by mathematical induction the general formula u = u + (n − 1)d , for n for positive integers.

Horatian satire is more witty and tolerant.named after the roman satirist horacegently criticizes human nature and human follyjuvenalian satire is more angry and personal, attempting to produce anger in the reader.named after roman satirist juvenalattacks human vice-indignant