please solve this.................
Answers
Answer:
this is the answer
Solution :
Let the steps moved down be represented by positive integers and the steps moved up be represented by negative integers.
(i) Initially, the monkey was at step = 1
After 1st jump, the monkey will be at step 1 +3 =
After 2nd jump, the monkey will be at step = 4+ (-2) = 2
After 3rd jump, the monkey will be at step = 2 + 3 =
After 4th jump, the monkey will be at step 5+ (-2) = 3
After 5th jump, the monkey will be at step = 3 + 3 =
After 6th jump, the monkey will be at step = 6 + (-2) = 4
After 7th jump, the monkey will be at step 4 +3 =
After 8th jump, the monkey will be at step = 7 + (-2) = 5
After 9th jump, the monkey will be at step =5 + 3 =
8
After 10th jump, the monkey will be at step 8 + (-2) = 6
After 11th jump, the monkey will be at step = 6 + 3
= 9
Clearly, the monkey will be at water level (i.e., 9th step) after 11 jumps.
(ii) Initially, the monkey was at step = 9
After 1st jump, the monkey will be at step 9 + (-4) = 5
After 2nd jump, the monkey will be at step = 5 + 2 = 7
After 3rd jump, the monkey will be at step = 7 +(- 4) = 3
After 4th jump, the monkey will be at step = 3 + 2 = 5
After 5th jump, the monkey will be at step = 5 + (- 4) = 1
Clearly, the monkey will reach back at the top step after 5 jumps.
(iii) If steps moved down are represented by negative integers and steps moved up are represented by positive integers, then his moves will be as follows.
Moves in part (i)
- 3 + 2 - 3 + 2 - 3+ 2 - 3 +2 - 3 + 2 - 3 = -8
Moves in part (ii)
4-2 +4 -2 + 4 = 8
Moves in part (ii) represent going up 8 steps.