Observe the number of a row arranged in order to explore its change law -1,1/2,-3,1/4,-5,1/6,-7,1/8,... (1) Write down the next three numbers: (2) What are the numbers of 2014 and 2015?

-9,1/10
1/2014,-2015

Observe the number of each column below, study its arrangement and fill in the blanks （1）1，-2，1，-2，1，-2，，，，… （2）-2，4，-6，8，-10，，，，… （3）1，0，-1，1，0，-1，，，__ ，…

(1) This group of data is 1, - 2 cycle change, and then get the following results:
1，-2，1，-2，1，-2，1，-2，1…
So the answer is: 1, - 2, 1;
(2) According to - 2, 4, - 6, 8, - 10, the next data are: 12, - 14, 16;
So the answer is: 12, - 14, 16;
(3) This group of data is 1, 0, - 1 cycle change, and then get the following results:
1，0，-1，1，0，-1，1，0，-1．
So the answer is: 1, 0, - 1

Observe the number in the following order, study their respective arrangement rules, and then fill in the number on the blank -1,1, - 1,1, - 1,1 2,-4,6,-8,10,-12,14,-16,【】,【】 1,0, - 1,0,1,0, - 1,0,0,1,0, - 1,0 1,2, - 3, - 4,5,6, - 7, - 7, - 8 [

1 -1
2 18 -20
3 -1 0
4 2005

What is the seventh number The first six numbers are half, one third, one 15th, one 26th and one 35th

1/2,1/3,1/10,1/15,1/26,1/35 …… The denominator is 2,3,10,15,26,35, i.e. 1 × 1 + 1 = 2, 2 × 2-1 = 3,3 × 3 + 1 = 10,4 × 4-1 = 15,5 × 5 + 1 = 26,6 × 6-1 = 35, so the next is 8 × 8 + 1 = 65, 9 × 9-1 = 80. The seventh term is one of 65. The denominator of the N term is n ×

Observe the arrangement of the following column numbers and fill in the blanks: What is the 200th number? A formula is required

This topic is not very good, may be wrong or the condition is not right, I thought for a long time, made a lot of assumptions, the answer can be many ah

There is a column number: 1, 2, 3, 2, 3, 4, 3, 4, 4, 4, 5, 4, 5, 6

Group: (1,2,3), (2,3,4), (3,4,5), (4,5,6) Rule: there are three numbers in each group. The first number of group n is n, and the last two numbers are the first number + 1, + 22008 △ 3 = 669 remainder 1. The 2008 number is the first number of 670 group, which is 670. There is a column number of 670: 1, 2, 3, 2, 3, 4, 3, 4, 5, 5, 6

There is a column of numbers: 1,2,3,2,3,4,3,4,5,4,5,6?

Just looking at the first of every three numbers, we can see the rule of 1.2.3,
2008 = 669 * 3 + 1, so the 2007 number is 6692008, which is 670

Please observe the following number carefully and think about the law of change: 1, - 1 / 2,1 / 3, - 1 / 4,1 / 5,1 / 6 Yes: if the number in this column is infinitely arranged, it is closer to the number

The general formula is [(- 1) ^ n] / n
So the 11th number is - 1 / 11, the 12th number is 1 / 12, and the 13th number is - 1 / 13
The number of 2008 is 1 / 2008

Observe the following series of numbers and explore the law: 1, - 1 / 3,1 / 3, - 1 / 4,1 / 5, - 1 / 6 (1) What is the eighth number? What is the 2008 number? (2) If the number of this column is infinite, which number is getting closer and closer?

1,-1/2,1/3,-1/4,1/5,-1/6…
(1) The nth number is (- 1) ^ (n + 1) / N, the eighth number is (- 1) ^ 9 / 8 = - 1 / 8, and the 2008 number is (- 1) ^ 2009 / 2008 = - 1 / 2008
(2) If the number of columns goes on infinitely, it will be closer to 0

-1 / 2,2 / 3, - 3 / 4,4 / 5, - 5 / 6, what is the nth number

Odd numbers are negative and even are positive
The molecules are 1, 2, 3
The denominator is: 2, 3, 4
The nth term is: (- 1) ^ n × n / (n + 1) n is a positive integer

Observe the number of a row arranged in order to explore its change law -1,1/2,-3,1/4,-5,1/6,-7,1/8,... (1) Write down the next three numbers: (2) What are the numbers of 2014 and 2015?