The sum of 3 consecutive odd integers is k. In terms of k, what is the sum of the 2 smaller of these integers?
Do I need to use substitution somehow?? (The answer given is but can't figure it out..)
Perhaps the idea of an arithmetic sequence can help us.
Let be the middle number so that our sequence is
For 3 consecutive odd numbers the mean will be equal to the middle number. Hence
is the middle number.
Hence the smaller number is: .
The question is asking us to find the sum of the two smaller numbers:
which is the book's answer
Hello Mjoshua,
I was going to reply to this post yesterday but decided that eipi had adequately answered it I passed.Today you appear confused.Here is the way I would have replied.
Three cons odd integers are n, n+2, n+4, the sum of these =k
Solution of this equation n=k-6/3. The sum of the first two is 2n+2 and thisbecomes 2/3k-2 when you insert the value of n in terms of k.
bjh