A water tank has steps inside it. A monkey is sitting on the topmost step (i.e, first step). The water level is at the ninth step.
(i) he jumps 3 steps down and then jumps 2 steps back. In how many jumps will he reach the water level?
(ii) After drinking water he wants to go back. For this, he jumps 4 steps up and then jumps 2 steps down in every move. In how many jumps will he reach the top step?
(iii) If the number of steps moved down is represented negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following:
(a) 3+2-?=-8 (b)4-2+?=8. In (a) the sum (-8) represents going down by 8 steps. So what will the sum8 in (b) represent?
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1) monkey is on the 1st step, water level is on the 9th step.
1st jump = 1 + 3 - 2 = 2
2nd jump = 2 + 3 - 2 = 3
3rd jump = 3 + 3 - 2 = 4
4th jump = 4 + 3 - 2 = 5
5th jump = 5 + 3 - 2 = 6
6th jump = 6 + 3 - 2 = 7
7th jump = 7 + 3 - 2 = 8
8th jump = 8 + 3 - 2 = 9
2) 1st jump = 9 - 4 + 2 = 7
2nd jump = 7 - 4 + 2 = 5
3rd jump = 5 - 4 + 2 = 3
4th jump = 3 - 4 + 2 = 1
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