Fibonacci Extended
Choose two integers. Add them together to create a third integer. Add the second and third integer of your list to create a fourth. Continue adding the last two integers to generate a Fibonaccilike sequence, ending with a total of ten integers. Repeat the process with two different starting integers.
What is the relationship between the seventh term and the sum of the sequence? What is the relationship between the seventh and tenth term of your sequence? Explain.

Extensions 
Would your result be different if you started with negative numbers or fractions?
Submit your idea for an investigation to InterMath.
