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



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
28 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 mixed number representation of 6 and 3/4 - 2 and 1/2? Factoring numbers, find the prime factors of 96. Real numbers: Is √61 a rational or irrational number?
What is the equation of the line passing through (1, 4) and (5, 10)?
What are the x-intercepts of the graph y = 2x² + 3x - 4?
New questions in Mathematics
Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1
Solve: −3(−2x+23)+12=6(−4x+9)+9.
the value of sin 178°58'
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
I need .23 turned into a fraction
Consider numbers from 1 to 2023. We delete 3 consecutive numbers so, that the avarage of the left numbers is a whole number
The bus one way of the road which is 10km is heading with speed of 20km/h ,then the bus the other 10km is heading with speed of 60km/h. The middle speed of the road is it equal with arithmetic speed of the v1 and v2 ?
The beta of a company is 1.51 while its financial leverage is 27%. What is then its unlevered beta if the corporate tax rate is 40%? (4 decimal places)
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
What is the appropriate measurement for the weight of an African elephant?
Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%
sin 30
In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be:
Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A multiple choice exam is made up of 10 questions; Each question has 5 options and only one of them is correct. If a person answers at random, what is the probability of answering only 3 good questions?
The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom
X^X =49 X=?
Find the set of points formed by the expression 𝜋<|𝑧−4+2𝑖|<3𝜋.