Question

How can you represent the terms of a sequence explicitly? How can you represent them recursively? Provide mathematical examples to support your opinions.

Answer 1

In explicit representation, a sequence is represented in terms of the first term while in recursive representation, a sequence is represented in terms ot the previous term.

Eg, the sequence: 2, 4, 6, 8, 10, . . .
Explicit Reprecentation An = 2 + 2(n - 1)
Recursive representation f(n) = 2 + f(n - 1)