Question

Next time, the rabbit from the previous problem start at 10 where on the number line can he be after the same three jumps?

Previous problem : A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not know the direction of either jump. What are all the possible numbers can this rabbit be now?

Answer 1

3,5,7,9,11,13,15,17

Explanation:

If rabbit starts at 0 the following are the possibilities

-4-2-1=-7

-4-2+1=-5

-4+2-1=-3

-4+2+1=-1

4-2-1=1

4-2+1=3

4+2-1=5

4+2+1=7

If the rabbit starts at 10 then

10-7=3

10-5=5

10-3=7

10-1=9

10+1=11

10+3=13

10+5=15

10+7=17