A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step. (i) He jumps 3 steps down and then jumps back 2 steps up. 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 back 2 steps down in every move. In how many jumps will he reach back the top step? (iii) If the number of steps moved down is represented by 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 eight steps. So, what will the sum 8 in (b) represent?

Explanation

To solve the problem step by step, let's break it down into parts (i), (ii), and (iii).

### Part (i)
The monkey starts at the topmost step (1st step) and the water level is at the 9th step.

1. **Initial Position**: The monkey is at step 1.
2. **First Jump**: The monkey jumps down 3 steps.
- New position = 1 - 3 = -2 (This means he is now at step 4, since we count down from 1 to 9).
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