AMC 8 Daily Practice - The Sum of a Finite Arithmetic Series

Complete problem set with solutions and individual problem pages

Problem 2 Easy

Four campers—Alice, Bob, Charlie, and Diana—play a number-reporting game around a campfire. In Round 1, Alice reports 1, Bob reports 2 and 3, Charlie reports 4, 5, 6, and Diana reports 7, 8, 9, 10. In Round 2, Alice continues with 11 through 15, maintaining the same pattern. How many numbers did Alice report in the first five rounds?

  • A.

    13

  • B.

    17

  • C.

    30

  • D.

    45

  • E.

    50

Answer:D

Alice's reporting pattern follows an arithmetic sequence where the number of terms per round increases by 4 each time: 1, 5, 9, 13, 17 terms for Rounds 1 to 5.

Using the arithmetic series sum formula:

Final result: \boxed{45}

Related Problems
Problem 1 AMC 8 Daily Practice - The Sum of a Finite Arithmetic Series
Problem 3 AMC 8 Daily Practice - The Sum of a Finite Arithmetic Series
Problem 4 AMC 8 Daily Practice - The Sum of a Finite Arithmetic Series
Problem 5 AMC 8 Daily Practice - The Sum of a Finite Arithmetic Series
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