Consider the following four mathematical expressions:
(a) 5,8,11,…,29
(b) 2+4+6+8+…
(c) 7,6,5,4,3,…
(d) 3+6+9+12
Classify each expression and justify your conclusion.
a. (i) For each expression (a)–(d), state whether it represents a sequence or a series and whether it is finite or infinite. Give reasons in each case.
b. (ii) For every expression that represents a sequence, determine whether it is an arithmetic progression. If it is an AP, find its common difference; if it is not, explain precisely why the condition for an AP fails.