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..)
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
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.