It consists of several numbers, the first of which is - 1 / 3. From the second, every number after it is equal to the reciprocal of the difference between 1 and the previous one 1. Calculate the value of the second, third and fourth number respectively 2. Calculate the sum of the first 36 numbers

It consists of several numbers, the first of which is - 1 / 3. From the second, every number after it is equal to the reciprocal of the difference between 1 and the previous one 1. Calculate the value of the second, third and fourth number respectively 2. Calculate the sum of the first 36 numbers

The second number is 1 / [1 - (- 1 / 3)] = 3 / 4
The third number is 1 / (1-3 / 4) = 4
The fourth number is 1 / (1-4) = - 1 / 3
From this we can see that these numbers appear repeatedly according to the period
The sum of the first three numbers is - 1 / 3 + 3 / 4 + 4 = 53 / 12
The sum of the first 36 numbers is 53 / 12 * 12 = 53 (period is 3, so 36 numbers have 12 cycles)

If the sum of 4 / 5 and the reciprocal of a number is 5 / 4, then the number is ()

5/4-4/5=25/20-16/20=9/20
The reciprocal of 9 / 20 is 20 / 9
So the number is 20 / 9

Two numbers are reciprocal. One is a quarter of four. What is the other number

1

The product of a number and its reciprocal is four-thirds. What is the reciprocal of this number?

Let this number be X
So x + 1 = 3 / 4, s so x = - 1 / 4
So the reciprocal of X is - 4

The product of a number and its reciprocal is 4. What's one third of the reciprocal?

x+x*1/x=4,x=3,1/3*1/3=1/9

The product of a number and its reciprocal plus a is 4 and 1 / 2 to find the reciprocal of A

a *1/a + a = 4 1/2
1+a = 9/2
a = 7/2
Reciprocal of a = 2 / 7

The product of a number and its reciprocal plus a, the result is 1 / 4 and 2. What is the reciprocal of a?

The product of a number and its reciprocal is 1
Then a = 4 and 1 / 2-1 = 3 and 1 / 2 = 7 / 2
1 / 7 / 2 = 2 / 7 (2 / 7)

The product of a number and its reciprocal plus () is 4 and 3 / 4

The product of a number and its reciprocal plus (3 and 3 / 4) is 4 and 3 / 4
4 and 43 / 4-1 = 3 and 3 / 4

The product of a number and its reciprocal plus a gets 6 and 1 / 2. What is the reciprocal of a?

I hope it can help you. The product of a number and its reciprocal = 1 1 + a = 6 and 1 / 2 = 13 / 2, a = 13 / 2-1 = 11 / 2, the reciprocal of a = 2 / 11

Subtract a from the product of a number and its reciprocal to get one-third^_^

Because the product of a number and its reciprocal is 1, so 1-A = 1 / 3, then a = 2 / 3, so the reciprocal of a is 3 / 2