Library / /111 of 176

, 1998

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

The $n$ th term of an arithmetic sequence is given by $t_n=555-7n$ . If $S_n=t_1+t_2+\cdots+t_n$ , determine the smallest value of $n$ for which $S_n<0$ .

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.