5003 Praxis Practice Test Practice Question

The following sequence consists of a block of 6 numbers that repeats indefinitely. 1, 4, 2, 5, 7, 8, 1, 4, 2, 5, 7, 8.... Which of the following is the 65th term of the sequence?

Correct Answer: A

Rationale: To determine the 65th term in the repeating sequence 1, 4, 2, 5, 7, 8, first note that the sequence has a length of 6. To find the position of the 65th term within this block, calculate \(65 \mod 6\). This gives a remainder of 5, indicating that the 65th term corresponds to the 5th term in the block.

In the sequence, the 5th term is 7. Thus, option C is incorrect. The other options (A: 2, B: 5, D: 8) do not match the 5th term either. Therefore, the 65th term is indeed 7.

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