The sum of 2023 consecutive integers is 2023. What is the sum of digits of the largest of these integers? A 4 B 5 C 6 D 7 8 E
Question
The sum of 2023 consecutive integers is 2023. What is the sum of digits of the largest of these integers?
A) 4
B) 5
C) 6
D) 7
E) 8
Solution
The sum of n consecutive integers starting from x is given by the formula n/2 * (2x + n - 1).
Given that the sum is 2023 and there are 2023 integers, we can set up the equation 2023 = 2023/2 * (2x + 2023 - 1).
Solving for x gives us x = -1010.5.
However, x must be an integer, so we round up to -1010.
The largest integer in the sequence is therefore -1010 + 2023 - 1 = 1012.
The sum of the digits of 1012 is 1 + 0 + 1 + 2 = 4.
So, the answer is A. 4.
Similar Questions
The sum of four consecutive integers is 1290.The greatest of them is?Options220760324NONE
he sum of five distinct whole numbers is 337. If 60 is the smallest of them, what is the maximum value the largest number can have?Options :917097274
The sum of five consecutive odd numbers is equal to 245.what is the difference between twice the largest odd number and the smallest odd number?
What will be the sum of the sequence up to 5th term 9, 36, 144, 576, ...? 3069 3070 3071 3072
Integers are listed from 700 to 1000. In how many integers is the sum of the digits 10
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.