Library / /396 of 472

, 2002

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

In a sequence of positive numbers, each term after the first two terms is the sum of all of the previous terms. If the first term is $a$ , the second term is 2, and the sixth term is 56, then the value of $a$ is

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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.