This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND
OR
NO

Found problems: 27

1969 AMC 12/AHSME, 33
Let $S_n$ and $T_n$ be the respective sums of the first $n$ terms of two arithmetic series. If $S_n:T_n=(7n+1):(4n+27)$ for all $n$, the ratio of the eleventh term of the first series to the eleventh term of the second series is: $\textbf{(A) }4:3\qquad \textbf{(B) }3:2\qquad \textbf{(C) }7:4\qquad \textbf{(D) }78:71\qquad \textbf{(E) }\text{undetermined}$
ratio arithmetic series algebra

2010 Stanford Mathematics Tournament, 12
Consider the sequence $1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1,...$ Find $n$ such that the fi rst $n$ terms sum up to $2010$.
arithmetic series sequences