What is the equivalent of (- 16-2 and 1 / 4 × (- 4)) / (1 / 4 - (- 13 / 8))

What is the equivalent of (- 16-2 and 1 / 4 × (- 4)) / (1 / 4 - (- 13 / 8))

(- 16-2 and 1 / 4 × (- 4)) / (1 / 4 - (- 13 / 8))
= (- 16 - (- 9)) / (1 / 4 + 13 / 8)
= (- 16 + 9) / (2 / 8 + 13 / 8)
= (- 7) △ 15 / 8
= 105 of - 8

2/2+3/4+4/8+5/16+.+11/1024=?

Sn=2/2+3/4+4/8+5/16+.+n/2^n
2Sn=2+3/2+4/4+5/8+.+n/2^(n-1)
Subtraction
Sn=2+1/2+1/4+1/8+.+1/2^(n-1)-n/2^n
=2+1/2^(n-1)-1-n/2^n
When n = 11
Original formula = 1 + 10 / 2 ^ 11

1 1/2+2 1/4+3 1/8 +4 1/16+… +What is 10 1 / 1024?
1 1 / 2 means 1 and 1 / 2

=(1+2+3..+10)+1/2+1/4+...1/1024 =55+1-1/1024 =54-1/1024

What is 2-4-8-16-32 - ┄ - 512 + 1024

This is an equal ratio sequence. Starting from the second term, the latter term is always 2 compared with the former term. You can first propose a 2 and calculate from the second term. Therefore, you can use the sum formula of the equal ratio sequence (1-Q ^ n) / (1-Q), q = 2, the last term of the subtraction is 512, the total number of subtractions is 2 ^ 2 to 2 ^ 9, propose a 2, that is 2 * (1-2 ^ 8) / (1-2), the sum of the deceleration terms is - 500, and finally add 2 and 1024 to get 526

What is 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 ·· + 1 / 1024 + 1 / 2048

1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 ·· + 1 / 1024 + 1 / 2048
=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+.+1/512-1/1024+1/1024-1/2048
=1-1/2048
=2047/2048

13 out of 16 minus (3 out of 16 minus 5 out of 8) equals? 5 out of 16 minus 3 out of 8 plus 11 out of 16 minus 5 out of 8 equals?

13/16-(3/16-5/8)
=13/16-3/16+5/8
=10/16+5/8
=5/8+5/8
=10/8
=5/4
5/16-3/8+11/16-5/8
=5/16+11/16-5/8-3/8
=5/16+11/16-(5/8+3/8)
=1-1
=0

1 / 2 3 / 4 5 / 8 7 / 16 item 10: item n: 13 7 15 31 item 10: item n:
This topic is to find the law

The first question: item 10: 19 / 1024 item n: (2n-1) / 2 ^ n the second question: item 10: 1023 item n: (2 ^ n) - 1 Analysis: in the first question, the numerator is 1, 3, 5, 7, 9, 11, etc., and the variance is 2, but they are all less than the integer multiple of 2 by 1, so it is the positive integer power of 2 in the denominator of 2N-1, so it is 2 ^ n

(x x x 2) (X-13) - 16 = (x x x 3) ()

(x x x 2) (X-13) 16 = (x x x 3) (x-14)

[20 1 / 3-18 1 / 5 + 16 1 / 7 + 14 2 / 3-12 4 / 5 + 10 6 / 7] x [9-25 / 31]
It's not easy to type so many words in the process

[20 1 / 3-18 1 / 5 + 16 1 / 7 + 14 2 / 3-12 4 / 5 + 10 6 / 7] x [9-25 / 31]
=[(20 1 / 3 + 14 2 / 3) - (12 4 / 5 + 18 1 / 5) + (16 1 / 7 + 10 6 / 7)] x [9-25 / 31]
=[35-31+27]×[9-25/31]
=31×9-31×25/31
=279-25
=254

1 out of 2, 3 out of 4, 7 out of 1 and 8, 15 out of 2 and 16

-(2 / 1), (4 / 3), 1 (8 / 7), 2 (16 / 15)... So you should understand! The next step is 3 (32 / 30), which is 3 and 30 / 32