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?
- A.
40
- B.
35
- C.
34
- 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.
70 − 42 = 70 − 16 = 54
54 − 32 = 54 − 9 = 45
45 − 22 = 45 − 4 = 41
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.