What is the next number in the series 70, 54, 45, 41?

2025

What is the next number in the series 70, 54, 45, 41?

  1. A.

    40

  2. B.

    35

  3. C.

    34

  4. D.

    32

Show answer & explanation

Correct answer: A

Concept: In a decreasing-squares number series, each term is formed by subtracting successive perfect squares, taken in descending order, from the previous term.

  1. 70 − 42 = 70 − 16 = 54

  2. 54 − 32 = 54 − 9 = 45

  3. 45 − 22 = 45 − 4 = 41

  4. 41 − 12 = 41 − 1 = 40

Cross-check: the squares subtracted at each step — 42, 32, 22, 12 — form a strictly descending sequence of consecutive integers squared, confirming the rule. Extending it by one more step gives the next number in the series.

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