"a triangle number" or "a square number"


[Problems]
When the great number scholar gauss of the world was ten years old, I solved all the - - problems for 1 for an integer to 100 as follows.

1+2+3 + ... ... +98+99+100
100+99+98 + .. .. .. +3+2+1
Respective - - for the integer of the step of the top and the step of the bottom 101+101+101 + .. .. .. +101+101+101 The - of - . 101 measures
100 101X100=10100
This especially consists an integer to 100 of 1 adding - - - twice 10100/2
= 5,050
Then an answer reaches 5,050.

Answer using this way of thinking in the anteroom - . (1) * be the integer that it is for 1 in 200 and it is rub all adding Sai for the multiple of 3. (2) The unity of an integer from 1 to x reached 325. Demand x. (3) One side will heap up the equilateral triangle of Ko of 1 cm variously bottom diagram and it will make an equilateral triangle that is big - - - - . Are several small equilateral triangles used so that a length of one side may make 30 cm of equilateral triangles?


01 S School


Doesn't It Just a little Worry Itself? Do I think in what manner about this problem?
Although the whole has become introduction of triangle numbers,
(3) is the typical problem of one of the square numbers.
Is a - Mind Thought of?If it is not imagined, it becomes an ability of question person - as - is counted There is none and we talk to a candidate for examination and it is the hard problem.
I want you to limit an intention of the exam question.
TOP@NEXT (the road that intersects in rectangular land)