A Happy New Year! Why don't you solve these questions related to 2018?
These questions are just for fun. I know the answer of the questions and I will post them after Jan.3.
[Level 1] If the sum of four successive integers is 2018, what are the four integers?
[Level 2] If the sum of more than four successive integers is 2018, what are the all possible sequences?
These questions are just for fun. I know the answer of the questions and I will post them after Jan.3.
[Level 1] If the sum of four successive integers is 2018, what are the four integers?
[Level 2] If the sum of more than four successive integers is 2018, what are the all possible sequences?
3 Answers
Explanation:
Let x be the first of the four integers, then the sum of x, x+1, x+2, x+3 is
that's
Then the numbers are
See below.
Explanation:
For the level
The sum of
Solving for
but
For negative values we have also
Resuming
Thank you!
Explanation:
Here is the answer.
[Level 1]
Let
Four successive integers are
The four integers are
[Level 2]
Let
Then,
Use the formula of arithmetic progression sum.
The product of two integers,
Note that
If
Therefore, the sequences are
and