"Suppose 19 people are arranged around a circle and numbered from 1 through 19. Starting with 1, eliminate every second person. Thus for every 19 people the elimination is 2, 4, 6, 8, 10, 12, 14, 16, 18, 1, 5, 9, 13, 17, 3, 11, 19, 15. The remaining number is 7.

a. For values of n from 2 through 20, make a table showing the remaining number after the process of elimination. (done that!)

b. Formulate a conjecture about which values of n have 1 for the remaining number. (help!)

c. On the basis of the conjecture in b and the pattern that appears, find the remaining number if n = 300."

Question

"Suppose 19 people are arranged around a circle and numbered from 1 through 19. Starting with 1, eliminate every second person. Thus for every 19 people the elimination is 2, 4, 6, 8, 10, 12, 14, 16, 18, 1, 5, 9, 13, 17, 3, 11, 19, 15. The remaining number is 7.

a. For values of n from 2 through 20, make a table showing the remaining number after the process of elimination. (done that!)

b. Formulate a conjecture about which values of n have 1 for the remaining number. (help!)

c. On the basis of the conjecture in b and the pattern that appears, find the remaining number if n = 300."

rational · Answer

could you post the table in part a