Write a recursive definition for the sequence 11, 8, 5, 2,…

Answer 1

To write a recursive definition for the sequence 11, 8, 5, 2, ... we need to identify how each term is related to the previous term.

In this sequence, each term is obtained by subtracting 3 from the previous term:

a1 = 11
a2 = a1 - 3 = 8
a3 = a2 - 3 = 5
a4 = a3 - 3 = 2
...

Thus, we can write the recursive definition:

an = an-1 - 3 for n >= 2

where a1 = 11 is the initial term of the sequence.