2010 AMC 12A Problem 10
Below is the professionally curated solution for Problem 10 of the 2010 AMC 12A, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2010 AMC 12A solutions, or check the answer key.
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Difficulty rating: 1410
10.
The first four terms of an arithmetic sequence are and What is the th term of this sequence?
Solution:
Consecutive terms differ by a common difference From the last two terms,
From the first two terms, and from the second and third, Solving this system gives and
The th term is
Thus, A is the correct answer.
Problem 10 in Other Years
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