The sequence is formed by repeating the word "problemsolving" continuously:…

2024

The sequence is formed by repeating the word "problemsolving" continuously:

problemsolvingproblemsolvingproblemsolving...

Find the 2015th character in this sequence.

  1. A.

    n

  2. B.

    m

  3. C.

    o

  4. D.

    p

Attempted by 3535 students.

Show answer & explanation

Correct answer: A

The word "problemsolving" has 14 letters.

To find the 2015th character, divide 2015 by 14:
14 × 143 = 2002, and 2015 − 2002 = 13.

So the 2015th character is the 13th character of the repeating word.

Counting the letters:
p(1), r(2), o(3), b(4), l(5), e(6), m(7), s(8), o(9), l(10), v(11), i(12), n(13), g(14).

Therefore, the 2015th character is n. Hence, Option A is correct.

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