Question

ДОПОЛНИТЕ ЧИСЛОВОЙ РЯД: 1 , 16 , _ , 100, 169...

Answer 1

1²=1,
(1+3)²=4²=16,

(1+3+3)²=49,

(1+3+3+3)²= 10²=100,
(1+3+3+3+3)²=13²=169


Ответ 49

Answer 2

To complete the numerical series, let's try to identify the pattern first:

1, 16, _, 100, 169...

If we take a closer look, we can see that each number in the series is a perfect square. Specifically:

1 = 1^2 16 = 4^2 100 = 10^2 169 = 13^2

So, the missing number in the series should also be a perfect square. The next perfect square after 16 is 25, which is 5^2.

Therefore, the completed numerical series is:

1, 16, 25, 100, 169...