1 - 2 4 - 8 12 My answer is wrong, should be - 16 1 is 1 / 4 times of 4 - 2 is 4 pay 1 / 2 times, 4 is one time of 4 - 8 is 4 - 2 times, 12 is 4 3 times, the next number should be 4 - 4 times, 16 times every time multiply by - 2

1 - 2 4 - 8 12 My answer is wrong, should be - 16 1 is 1 / 4 times of 4 - 2 is 4 pay 1 / 2 times, 4 is one time of 4 - 8 is 4 - 2 times, 12 is 4 3 times, the next number should be 4 - 4 times, 16 times every time multiply by - 2

Sorry, I copied the wrong question - 8 followed by 16, not 12 sorry

Observe the following three lines: 2, - 4,8, - 16,32, - 64,...; ① 4, - 2,10, - 14,34, - 62,...; ②
1,-2,4,-8,16,-32,...③
(1) The eighth number in the first line is ---; the eighth number in the second line is ---; the eighth number in the third line is ---------
(2) Whether there are three consecutive numbers in line 3, so that the sum of the three numbers is 768. If there are three consecutive numbers, there is no explanation;
(3) Whether it is in such a column; make the sum of the three numbers 1282; if it exists, find the three numbers; if it does not exist, explain the reason

The first line [(- 1) ^ (n + 1)] * 2 ^ n, the N + 1 power of - 1 multiplied by the n power of 2, n represents the nth item, the eighth number is [(- 1) ^ (8 + 1)] * 2 ^ 8 = - 256, the second line is 2 + [(- 1) ^ (n + 1)] * 2 ^ n, all the numbers in the first line add 2; the eighth number is 2 + [(- 1) ^ (8 + 1)] * 2 ^ 8 = - 254, the third line is [(- 1) ^ (n + 1)] * 2 ^ (n-1)

First column number: 1,3,6,10,15... Second column number: 1,4,9,16,25
The first column of numbers: 1,3,6,10,15... (formula of the nth number: (n ^ 2 + n) / 2)
The number in the second column: 1,4,9,16,25... (formula of the nth number: n ^ 2)
The third column number: 1,5,12,22,35... (the formula of the nth number: (3N ^ 2-N) / 2)
Which numbers exist in both the first and second columns? Which numbers exist in both the second and third columns?
thank you!
You're only solving the same n case. N in different cases, the two numbers may be the same. It's much more complicated than that.

Which numbers exist in both the first and second columns?
Is the number of the first column is infinite, which is the problem of square number
one
thirty-six
one thousand two hundred and twenty-five
forty-one thousand six hundred and sixteen
one million four hundred and thirteen thousand seven hundred and twenty-one
forty-eight million twenty-four thousand and nine hundred
one billion six hundred and thirty-one million four hundred and thirty-two thousand eight hundred and eighty-one
fifty-five billion four hundred and twenty million six hundred and ninety-three thousand and fifty-six
one trillion and eight hundred and eighty-two billion six hundred and seventy-two million one hundred and thirty-one thousand and twenty-five
……
Which numbers exist in both the second and third columns
Is the third column of the number of Infinite down, which is the square problem
one
nine thousand eight hundred and one
ninety-four million one hundred and nine thousand four hundred and one
nine hundred and three billion six hundred and thirty-eight million four hundred and fifty-eight thousand eight hundred and one
eight thousand six hundred and seventy-six trillion and seven hundred and thirty-six billion three hundred and eighty-seven million two hundred and ninety-eight thousand and one
……

Fill in the number according to the rule. 1.4,8,13,19, (), () 2.16,33,67,135（）,（）…… 3.1,4,9,16（）,36,（）
4.190,94,46,22,（）,（）,（）,……
5.1,1,2,3,5,8,（）,21,（）,55……

1.4,8,13,19,(26),(34),……
2.16,33,67,135（271）,（543）……
3.1,4,9,16（25）,36,（49）
4.190,94,46,22,（10）,（4）,（1）,……
5.1,1,2,3,5,8,（13）,21,（34）,55……