Sunday, 15 September 2013

sequences and series - Consecutive Odd Numbers?



When doing some exercises on Khan Academy, the following question came up: "The sum of 3 consecutive odd numbers is 69.
What is the third number in this sequence?" My answer was 27 because I thought -Odd- Numbers to show up as = 1, 3, 5, 7, etc. Apparently, it consists of x, 2, 4, 6, etc. Can someone explain this to me?




  • English is not my first or second language in case I'm missing something..



KhanAcademy's Explanation



Answer



Consecutive odd numbers differs 2.



Now suppose a is a odd numbers, then a2,a+2 are also odd numbers.



Now it is given that a2+a+a+2=693a=69a=23



Then the third number in this sequence is a+2=25 (Ans.)


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