The sum 1+2+3+....n is equal to one three-digit number with the same digits. Determine that number.
please do not spam and please give step by step solution.
Answers
Answered by
6
Answer:
In 5 seconds you can solve the equation
2
n(n+1)
=aaa (111, 222, etc)
2
n(n+1)
=aaa=a×111=a×3×37 ⇒n(n+1)=6ax37
The L.H.S of the equation n(n + 1) is a product of two consecutive
natural numbers Therefore R.H.S. should also be a product of two
consecutive natural numbers One of the numbers is 37 Therefore the other number, 6a consecutive to 37 can only be 36 giving a = 6 and n = 36
Therefore 36 numbers have been summed up and their sum
is equal to 666
please give me thanks to my answers and follow me
Similar questions
Math,
2 months ago
English,
2 months ago
Social Sciences,
2 months ago
Computer Science,
4 months ago
Math,
4 months ago
Chemistry,
10 months ago
Math,
10 months ago