Question

Just for fun:
A frog is 13 metres away from well! In the first time, it jumped 7.5 metres, and in second it jumped 3.75 metres.. And in nth jump, it finally fell into the well. What is the value of n?

Answer 1

Something like this was asked in rapid fire round of Quiz competition.........and i couldn't solve,lol!

Answer 2

Diyadiya, its question of rapid fire round, don't take so long time!

Answer 3

Lol

Answer 4

looks like 3 jumps, each jump is half the previous

Answer 5

wrong answer!

Answer 6

okez......i will answer
everytime it jumps, it jumps half the distance of previous distance.......so when on the earth is going to fall into the well............never
so n=infinity

Answer 7

yea - i just done that and deleted it - honest - i gotta cold virus

Answer 8

Hmm the question's a bit misleading - it explicitly states the frog does indeed reach the well. Instead of "And in nth jump, it finally fell into the well. What is the value of n?" it should be something to the effect of "When will the frog reach the well?" to which "Never" is the answer :-P That's what I think anyway!

Answer 9

I'm still scratching my head a bit. If the frog jumps half the previous jump it will reach the well. If it jumps half the distance remaining to the well it wont; which based on the information given it isn't doing.

Answer 10

True, I didn't notice that. I took it as half the distance remaining as most problems of this nature generally contain. In that case you're right, 7.5 + 3.75 + 1.875 = 13.125 hence 3 jumps, in the well he lands.

Answer 11

iF you solve the geometric sequence sum shown above for n you would get n = 2.9
Therefore the frog would indeed fall into the well on the 3rd jump

Answer 12

i must have gone wrong somewhere a = 7.5 and r = 0.5 right?

Answer 13

yeah

Answer 14

yep n=2.9