Question

Given the explicit expression f(n) = 3n, write a set showing the sequence. Then, write a recursive expression.

Answer 1

We need to find f(n) for n=1, 2, 3, and so on.

So, the sequence is:

f(n) = 3n

f(1) = 3*1 = 3

f(2) = 3*2 = 6

f(3) = 3*3 = 9

f(4) = 3*4 = 12

So, the set of the sequence is {3, 6, 9, 12,...}

Then, the recursive expression