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.
- A.
n
- B.
m
- C.
o
- 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.