Posted by jill on Thursday, September 30, 2010 at 8:19am.
They are monotonically increasing.
They are increasing a distance of n apart, as in
1st, 2nd, 3rd, 4th, 5th, 6th, ...nth
4, 4+2, 6+3, 9+4, 13+5, 18+6, ...(n-1 term)+n
or
term(1) = 4
term(2) = 6
term(3) = term(1) + term(2) - 1 = 9
term(4) = term(2) + term(3) - 2 = 13
term(5) = term(3) + term(4) - 3 = 18
...
term(n) + term(n-2) + term(n-1) - (n-2)
this is called a recursive formula,
or
term(n) = n(n+1)/2 + 3
Including bobpursley's pattern , there are probably some more
Related Questions
Basic math skills with geometry (6th ed.) - Place the following set of numbers ...
math - describe the pattern then find the missing numbers _, _,27,38, 49, 60 I ...
Problem Solving: Writing to Explain - Look at the numbers 13, 15, 19, 25,.... ...
math - look at the numbers below describe the pattern 75, 74,72,69,65, what is ...
Math - complete the pattern 3 8 13 18 23 what three numbers come next?
To Ms. Sue Math(Geometry) - Mathmatical pattern 4,6,9,13,18 I need formula as in...
math - What is the pattern to this sequence? 1,3,4,7,11,18,29 I figured it was ...
Math - Help, I can't find the pattern rule for this sequence(eg. -6,-3,2,9,...
MATH - the numbers below are Fibonacci numbers. 1,1,2,3,5,8,13,21,34,55,... ...
math - determine the next three numbers in this pattern: 2,3,5,7,11,13,17,19,23,...
For Further Reading