74.--THE BASKET OF POTATOES.

A man had a basket containing fifty potatoes. He proposed to his son, as

a little recreation, that he should place these potatoes on the ground

in a straight line. The distance between the first and second potatoes

was to be one yard, between the second and third three yards, between

the third and fourth five yards, between the fourth and fifth seven

yards, and so on--an increase of two yards for every successive potato

laid down. Then the boy was to pick them up and put them in the basket

one at a time, the basket being placed beside the first potato. How far

would the boy have to travel to accomplish the feat of picking them all

up? We will not consider the journey involved in placing the potatoes,

so that he starts from the basket with them all laid out.

Amusements in Mathematics · 第 93 / 970 题