AMC 8 Daily Practice - The Rule of Arithmetic Sequences

Complete problem set with solutions and individual problem pages

Problem 1 Easy

Halley's Comet has been observed passing by Earth in the years 1682, 1758, 1834, 1910, and 1986. Based on the pattern, when might it return in this century?

  • A.

    2000

  • B.

    2025

  • C.

    2037

  • D.

    2062

  • E.

    2076

Answer:D

Observing the years forms an arithmetic sequence with the first term 1682 and a common difference 76.

The next return year would be: 1986 + 76 = 2062

Final result: \boxed{2062}