MathDB

Peter Rabbit is hopping along the number line, always jumping in the positive

x

direction. For his first jump, he starts at

0

and jumps

1

unit to get to the number

1.

For his second jump, he jumps

4

units to get to the number

5.

He continues jumping by jumping

1

unit whenever he is on a multiple of

3

and by jumping

4

units whenever he is on a number that is not a multiple of

3.

What number does he land on at the end of his

100

th jump?

\mathrm a. ~ 297\qquad \mathrm b.~298\qquad \mathrm c. ~299 \qquad \mathrm d. ~300 \qquad \mathrm e. ~301

Problem Statement