← problem archive

problem 789

medium algebra

Consider the following lists of numbers: (i) 1, 2, 3, 4, . . . (ii) 100, 70, 40, 10, . . . (iii) -3, -2, -1, 0, . . . (iv) 3, 3, 3, 3, . . . (v) -1.0, -1.5, -2.0, -2.5, . . . Given a term, can you write the next term in each of the lists above? If so, how will you write it? Perhaps by following a pattern or rule. Let us observe and write the rule.