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DIY Challenge 3: The jumping frog

A frog jumps along a number line starting at 0. The first jump takes him it 1 unit, the second jump is 2 units, and so on. Each jump can take it to the right or to the left.

Can you find a way so that the frog ends up at the starting position after exactly 10 jumps?

What students worked out4

  • Student 3

    frog does not come to starting position

    reason could be frog takes total 55 steps in 10 jumps. if it has come to starting position then number of steps have to be even in number,

    frog can come to starting position if it takes 3 steps (6 jumps), 4 steps (jumps) and so on

  • Student 7

    I think the frog can not reach the starting point

  • Student 4

    It is not possible to for the frog

  • Student 2

    NP