Friday

September 19, 2014

September 19, 2014

Posted by **Laura** on Sunday, October 15, 2006 at 10:41am.

Let's construct the arrangement.

First consider 1, it can only have two placed next to it so it has to be at the end or beginning. Do you see why?

Ok, so let's suppose the arrangement starts with 1, then the only number that can come after it is 2, then 3 then 4...

Now suppose 1 is at the end. Then the only number that can come before is 2, then 3 then 4...

The only two arrangements are

1 2 3 4 5 ... n-1 n and

n (n-1) (n-2) ... 3 2 1

By the way, we are not constructing a digit, but rather an arrangement for the first n integers.

**Answer this Question**

**Related Questions**

math - there are 8 consecutive integers that add up to 31. Only two of the ...

Math - One integer is 4 more than a second integer. Three times the first ...

Algebra - A.Write and solve an equation to find three consecutive integers with ...

Algebra - A.Write and solve an equation to find three consecutive integers with ...

la sallle - There are 3 consecutive even integers such that the quotient ...

MATHS - Find the largest possible integer n such that there exists a non-...

algebra - Find the largest possible integer n such that there exists a non-...

math - Find two consecutive integers such that the sum of 3 times the first ...

algebra - Find the two consecutive odd integers such that 5 times the first ...

Algebra - Find two consecutive odd integers such that 5 times the first integer ...