AMC 8 Daily Practice - The Rule of Arithmetic Sequences

Complete problem set with solutions and individual problem pages

Problem 2 Easy

John plans to train for a 5000m race with a 15-day program: 5000m on Day 1, increasing by 300m daily. How far will he run on Day 15?

  • A.

    4700m

  • B.

    7400m

  • C.

    8000m

  • D.

    9200m

  • E.

    9500m

Answer:D

This forms an arithmetic sequence with a_1 = 5000 and d = 300.

Using the nth-term formula: a_{15} = 5000 + 300 \times (15-1) = 5000 + 4200 = 9200m

Final result: \boxed{9200} meters