InterviewSolution
Saved Bookmarks
| 1. |
Consider the sequence ('^(n)C_(0))/(1.2.3),("^(n)C_(1))/(2.3.4),('^(n)C_(2))/(3.4.5),...., if n=50 then greatest term is |
|
Answer» `30^(th)` `implies("^(n)C_(r ))/((r+1)(r+2)(r+3)) ge ('^(n)C_(r-1))/((r )(r+1)(r+2))` `implies("^(n)C_(r ))/('^(n)C_(r-1)) ge (r+3)/(r )` `implies(n-r+1)/(r ) ge (r+3)/(r )` `impliesr le ((n-2)/(2))` For `n=50impliesr ge 24` So `24^(th)` and `25^(th)` TERMS of sequence are greatest. |
|