a monkey while trying to reach the top of a pole of height 12 metres takes every time a jump of 2 metres but slips 1 metre while holding the pole.The number of jumps required to reach the top of pole is : *if possible solve this question with a formula or proper algorithm*
Length of each jump = Initial Jump(2 metres) - Length that he slips(1 metres) = 1 metre.
This means monkey will reach at top after 12 jumps. But NO!! This is not the case here.
Basically,
At 1st jump,monkey is at 1 meter.
.
.
.
At 10th jump, monkey is at 10 meters.
After 10th jump, mokey will make a jump of 2 meters through which he will reach at a height of 10+2 = 12 meters.
Therefore, correct answer is 11. At 11th jump he will reach at the top of pole.
This means monkey will reach at top after 12 jumps. But NO!! This is not the case here.
Basically,
At 1st jump,monkey is at 1 meter.
.
.
.
At 10th jump, monkey is at 10 meters.
After 10th jump, mokey will make a jump of 2 meters through which he will reach at a height of 10+2 = 12 meters.
Therefore, correct answer is 11. At 11th jump he will reach at the top of pole.