Question

Кузнечек прыгает вдоль коорденатного луча поперемено:на 5 еденичных отрезков вправо и на 3 еденичных отрезков влево . Сможет ли он за несколько прыжков из точки 0 попасть: а)в точку 6. Б)в точку 7?

Answer 1

А)кузнечик не сможет попасть в данную точку
б)кузнечек попадет в точку 7 за три прыжка(1-вправо,1-влево и 1-вправо)

Answer 2

Problem Analysis

We have a grasshopper that jumps along a coordinate ray, alternating between jumping 5 units to the right and 3 units to the left. We need to determine if the grasshopper can reach points 6 and 7 starting from point 0.

Solution

To solve this problem, we can simulate the grasshopper's jumps and track its position after each jump. Let's analyze the possible scenarios:

a) Can the grasshopper reach point 6? Starting from point 0, the grasshopper jumps 5 units to the right, reaching point 5. Then, it jumps 3 units to the left, reaching point 2. Next, it jumps 5 units to the right, reaching point 7. Therefore, the grasshopper can reach point 6.

b) Can the grasshopper reach point 7? Starting from point 0, the grasshopper jumps 5 units to the right, reaching point 5. Then, it jumps 3 units to the left, reaching point 2. Next, it jumps 5 units to the right, reaching point 7. Therefore, the grasshopper can reach point 7.

In both cases, the grasshopper can reach the desired points.

Conclusion

The grasshopper can reach both point 6 and point 7 starting from point 0 by following the specified jumping pattern.

Please let me know if I can help you with anything else.