What is the 100th number of 1,1 / 2,1 / 4,1 / 8,1 / 16,1 / 32,1 / 64,1 / 128 Directly give the answer is how much one, don't say what power one

What is the 100th number of 1,1 / 2,1 / 4,1 / 8,1 / 16,1 / 32,1 / 64,1 / 128 Directly give the answer is how much one, don't say what power one

1 / 99 of 2

The following group of numbers: 4, - 8,16, - 32,64,..., the nth number is

an= (-2)^(n+1)

What is the nth number of numbers like - 2,4, - 8,16, - 32,64,

(-1)^n *2^n

If a = (2 + 1) (2 ^ 2 + 1) (2 ^ 4 + 1) (2 ^ 8 + 1) (2 ^ 16 + 1) (2 ^ 32 + 1) (2 ^ 64 + 1), find the end number of A-2007
Finally, a = 2 to the 128th power - 1, and then how to calculate

A=A×(2-1)=(2-1)×(2+1)×(2^2+1)×…… ×（2^64+1）
=（2^2-1）×(2^2+1)×…… ×（2^64+1）
=……
=2^128-1
2、4、8、16、32、64、128、256、…… 2^n
The single digits are 2,4,8,6 cycles. 128 △ 4 = 32
When n = 128, the single digit is 6
SO 2 ^ 128-1 is 5
The single digit of A-2007 is 8

-1,2, - 4,8, - 16,32, - 64

The nth number is: (- 1) ^ n * 2 ^ (n-1)

Observe the number 1, - 2, - 3,4, - 5,6 in the following column. According to the form shown in the figure, - 201 is the number () on the left of line ()?
-1
2 -3 4
-5 6 -7 8 -9
10 -11 12 -13 14 -15 16

The last bit of each line is (- 1) ^ n * n ^ 2
And the last bit on line 14 is 14 ^ 2 = 196
So - 201 is the number 201 - 196 = 5 from the left of line 14 + 1 = 15

Please find out the rule of arrangement and fill in the blanks according to the rule. (1) the ninth number
Observe the following column of numbers: 1 / 2, - 1 / 6,1 / 12, - 1 / 20. Please find out the rule of arrangement and fill in the blanks according to this rule. (1) what is the 9th number? What is the 14th number? (2) if n is an integer greater than 1, write the nth number according to the above rule

The rule is that the nth number is: (- 1) ^ n / (n * (n + 1))
The ninth number is: - 1 / 90
The fourteenth number is 1 / 210
The nth number is: (- 1) ^ n / (n * (n + 1)) n > 1, n ∈ Z

Put some numbers in order: 1, - 1,2, - 2,3, - 3 Then - 100 is (). A. the 100th number B the 101st number C the 200th number d the 201 number

C

Regular: arrange a series of numbers 1 / 1, - 1 / 3,2 / 3, - 3 / 3,1 / 5, - 2 / 5,3 / 5, - 4 / 5
Give the answer as soon as possible

-19/19

The figure on the right is a positive integer matrix arranged according to a certain rule. What is the number on the right of the sixth row? How many numbers are there in the seventh row?
According to your conjecture, which line should 2005 be on? Which number should 2005 count from left to right on this line?
1 first line
2 3 4 the second line
5 6 7 8 9 the third line
10 11 12 13 14 15 16 the fourth line
17 18 19 20 21 23 24 25 the fifth line
······
Please reply as soon as possible
The reward is 100. Please reply within 10 minutes

If you look at its rules, the last one in each line is the square of 1,2,3,..., the rightmost end of the sixth line is 36, the seventh line has 49-36 = 13 numbers, the square formula of 44 is 1936, the square formula of 45 is 2025, so 2005 should be on line 45, 2005-1936 = 69, so 2005 should be on line 45 from left to right the 69th