In the sequence 1,4,5,6,7,8,9,10,16,18,... each number after the first two is...

[randy.lahey]

[FONT=&quot]In the sequence 1,4,5,6,7,8,9,10,16,18,... each number after the first two is the next number that can be expressed as the sum of two previous numbers in only one way. For example, 10 is included because 6+4=10, and there is no other sum of two numbers in the sequence that equals 10. The number 15 is not included because both 10+5 and 8+7 equal 15. In a similar sequence that begins with the two numbers 100 and 101, the sum of the first 10 terms is.[/FONT]

 

[ksdhart2]

You've posted 7 different problems here and not shown any work on any of them. This tells me you didn't read the Read Before Posting thread that's stickied at the topic of every sub-forum. Go read it now. After that, you tell us what your thoughts on these problems are and what you've tried to solve them.