Question 27
On the shore of a circular lake there are stones numbered from 1 to 10, in clockwise order. The frog Frog starts from stone 1 and jumps clockwise only on these 10 stones.
a) If Frog jumps 2 stones at a time, that is, he goes from stone 1 to stone 3, from 3 to 5 and so on, on which stone will he be after 100 jumps?
b) Suppose that on the first jump Frog goes to stone 2, on the second to stone 4, on the third to stone 7, that is, on each jump he moves one stone more than on the previous jump. On which stone will Frog be after 100 jumps?
a) If Frog jumps 2 stones at a time, that is, he goes from stone 1 to stone 3, from 3 to 5 and so on, on which stone will he be after 100 jumps?
b) Suppose that on the first jump Frog goes to stone 2, on the second to stone 4, on the third to stone 7, that is, on each jump he moves one stone more than on the previous jump. On which stone will Frog be after 100 jumps?