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## Homework Statement

If x is a real number, we define [x] as being the largest integer <= x. For example, [1.2] = 1,

[-1.1] = -2, [1] = 1, [11/3]3 = 3, . . .

Let {an}n>=1 be the numerical sequence defined by:

a1 = 3; and an = a[n/2], for n>=2

(a) Give the terms a1; a2; ... ; a8 of this sequence.

(b) Prove that an = 3; For all n>= 1

## Homework Equations

## The Attempt at a Solution

I'm not sure what induction has to do with this... I don't really get it.