Question

Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that

97

likes
487 views

Answer to a math question Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that

Expert avatar
Madelyn
4.7
82 Answers
Determine the average of the range 1 to 2023. The sum of consecutive integers from 1 to N is given by the formula: sum = (N/2) x (first number + last number). In this case, N = 2023, and the first number is 1, and the last number is 2023. So the sum is (2023/2) (1 + 2023) = 2,047,276. Since the average of the remaining numbers needs to be a whole number, the sum of the remaining numbers must be divisible by the number of remaining numbers. The average of the three numbers to be removed must be whole numbers: \frac{(x+x+1+x+2)}{3} = 2023 3x + 3 = 3(2023) 3x = 6066 x = 2022 x is the first number the numbers are: 2022, 2023, 1

Frequently asked questions (FAQs)
What is the area of a triangle with base 10 and height 15?
+
Question: What is the slope of a line passing through the points (3, 5) and (-2, 7),
+
Question: Find the fourth derivative of the function f(x) = sin(2x) + e^x.
+
New questions in Mathematics
A car tire can rotate at a frequency of 3000 revolutions per minute. Given that a typical tire radius is 0.5 m, what is the centripetal acceleration of the tire?
two particles start at the origin and move along the x axis. for 0 <= t <= 10, their respective position functions are given by x1 = cos(t) and x2 = (e^-3t) + 1. for how many values of t do the particles have the same velocity?
If L (-2, -5) reflected across y = -4. What are the coordinates of L?
If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?
How do you think the company has increased or decreased its income?
Determine the equations of the recipes that pass through the following pairs of points P1 (2;-1) and p2 (4;-1)
Additionally, the boss asked Armando to determine how many toy sales branches he would have in the fifteenth year, knowing that the first year they started with two branches, by the second they already had 5 branches and, by the third year, they had 8 branches. From the above, determine the number of branches it will have for the fifteenth year.
A, B, C and D are numbers; If ABCD = 23, What is the result of ABCD BCDA CDAB DABC operation?
What’s 20% of 125?
logy/logx + logz/logy + logt/logz = 8x².t x=?
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
A study reports the following final notation: F (3, 32) = 9.50, p < .05. How many total participants were involved in this study? Group of answer choices 34 32 36
What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.
User The average height of Aranka, Böske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of Böské and Delinke is 336 cm. How tall is Lili?
392929-9
2x-5-x+2=5x-11
P 13. Let P a point inside of a square ABCD. Show that the perpendicular lines drawn from A, B, C, respectively D, to BP, CP, DP, respectively AP are concurrent. Use geometric rotation.
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?
Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2