How many squares are there in 1-200 natural numbers
14, 1,4,9,16,25,36,49,64,81100121144
How many square numbers are there in natural numbers from 1 to 200?
1 4 9 16 25 36 49 84 81 100 121 144 169 196
So 14
From the natural numbers of 200-600, how many are perfect square numbers
14^2=196,15^2=225,24^2=576,25^2=625
25-15=10
There are 10
RELATED INFORMATIONS
- 1. If M and N are natural numbers and M is a multiple of N, then what is the maximum divisor of M and N?
- 2. M is a natural number greater than 10, M + 2 is a multiple of 3, M + 3 is a multiple of 4, M + 4 is a multiple of 5, M + 5 is a multiple of 6, what is m?
- 3. The fractional unit of n of M (both M and N are non-zero natural numbers) is (). He has () such units
- 4. The first step: take a natural number N1 = 5, calculate N1 + 1 to get A1; the second step: calculate the sum of all numbers of A1 to get N2, and calculate the square of N2 + 1 to get A2· Step 1: take a natural number N1 = 5, calculate the square + 1 of N1 to get A1; step 2: calculate the sum of all numbers of A1 to get N2, calculate the square + 1 of N2 to get A2. Step 2: calculate the sum of all numbers of A1 to get N2, calculate the square + 1 of N2 to get A2; step 3: calculate the sum of all numbers of A2 to get N3, and then calculate the square of N2 to get A3? Thanks for the detailed process. Thank you
- 5. The difference between the reciprocal of two natural numbers is 1 / 12. What is the product of the two numbers
- 6. The sum of the reciprocal of two natural numbers is 12 / 7. What is the product of the two numbers? Wrong, 7 / 12
- 7. A. The difference between the reciprocal of two natural numbers B is 1 / 182. Find the sum of two natural numbers a and B
- 8. To find the law of a natural number, do the following operations: if it is an even number, divide it by 2; if it is an odd number, add 1. Do this until 1, and the operation stops. Find out how many numbers become 1 after 8 operations?
- 9. The following operations are performed on the natural number: if it is even, divide it by 2; if it is odd, subtract 1 until the result becomes 0. Then after four operations, there are ▁ numbers that make the result become 0, which are ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
- 10. Ask some math questions (algebra) 1. There are three types of integers: positive integers, zero integers and negative integers. Non negative integers refer to positive integers__________________ The smallest positive integer is_____________ The smallest negative integer is________________ . 2. If the opposite number of a number is non negative, then the number must be negative______________ . 3. If the reciprocal of a number is - 1.5, then the opposite of the number is -________________ .
- 11. It is stipulated that the "H operation" of positive integer n is: ① when n is odd, H = 3N + 13; ② when n is even, H = NX1 / 2x1 / 2 Where h is odd Q 7 after 2010 times of "H operation", how much is it equal to?
- 12. Let x ^ 2n = 3, find (1 / 3x ^ 3n) · [4 (x ^ 5) ^ n] Let x ^ 2n = 3, find (1 / 3x ^ 3n) ^ 3 · [4 (x ^ 5) ^ n]
- 13. In the sequence {an}, if the first n terms and Sn = 3n-2n ^ 2 (n belongs to n *), then an =? Second, what is the size relationship between Sn and Nan?
- 14. In triangle ABC, a = 2, B = 1, find the value range of angle B
- 15. In the known triangle ABC, BC = x, AC = 2, B = 45 degrees, if the triangle has two solutions, then the value range of X is? (2,2√2) Draw an angle of 45 ° with B as the vertex and BC = x on one side Take point C as the center of the circle, radius 2, draw a circle, because there are two solutions, so the circle should intersect with the other side, if there is no solution, it is separated, if there is a solution, it is tangent After you draw the picture, you can clearly see that the distance from point C to the other side (the distance from the center of the circle to the chord), that is, the height of the triangle ABC is less than the radius, that is, xcos 45 ° < 2 In addition, BC edge is larger than radius, that is, x > 2 two
- 16. In △ ABC, a = xcm, B = 2cm, B = 45 ° are known. If there are two solutions of triangle by using sine definite, then the value range of X is () A. 2<x<22B. 2<x≤22C. x>2D. x<2
- 17. Gauss arithmetic: 1 + 3 + 5 + 7 +. + 2003 =, 1 + 4 + 7 + 10 + 13 +. + {3n-2}
- 18. If the function f (x) = (m-2) x multiplied by X + (m-1) x + 2 is even, find the monotone decreasing interval of F (x + 1) and explain the reason
- 19. The function f (x) whose domain is n + and whose value is also a positive integer: for any n ∈ n +, f (n + 1) > F (n); f (f (n)) = 3N, find f (4), f (5) We know that {f (n)} is a strictly increasing positive integer sequence -- > F (n) ≥ n f(f(1))=3≤f(3)--->f(1)≤3 If f (1) = 1, it is contradictory to f (1)) = 3; if f (1) = 3 --- > F (1)) = f (3) = 3, it is contradictory So: -- > F (1) = 2, f (2) = f (f (1)) = f (2) = 3 f(3)=f(f(2))=6 f(6)=f(f(3))=9 Because {f (n)} is a strictly increasing positive integer sequence -->f(4)=7,f(5)=8 How did you get this step? f(6)=f(f(3))=9 Because {f (n)} is a strictly increasing positive integer sequence
- 20. When n is a positive integer, the function n & nbsp; (n) is defined to represent the largest odd factor of N. for example, n & nbsp; (3) = 3, n & nbsp; (10) = 5 Let s (n) = n (1) + n (2) + n (3) + +Then (1) s (4) = n (2n)___ .(2)S(n)= ___ .