In the following number series, one term is wrong. Find the wrong term. 5, 10,…

2026

In the following number series, one term is wrong. Find the wrong term.

5, 10, 40, 80, 320, 550, 2560

  1. A.

    80

  2. B.

    320

  3. C.

    550

  4. D.

    2560

Attempted by 12 students.

Show answer & explanation

Correct answer: C

In a number series with an alternating-multiplier pattern, each term is obtained by multiplying the previous term by one of two fixed multipliers used in a repeating sequence (for example ×2, ×4, ×2, ×4, ...). To find the wrong term, apply the multipliers in order starting from the first term and identify where the given series deviates from the expected value.

  1. 5 × 2 = 10, which matches the given second term.

  2. 10 × 4 = 40, which matches the given third term.

  3. 40 × 2 = 80, which matches the given fourth term.

  4. 80 × 4 = 320, which matches the given fifth term.

  5. 320 × 2 = 640 is the expected sixth term, but the given series shows 550 instead.

  6. 640 × 4 = 2560, which matches the given seventh term.

Every other term in the series fits the ×2/×4 alternation exactly, and replacing 550 with the expected value 640 also correctly produces the next term (640 × 4 = 2560), confirming the deviation is isolated to that one term.

Hence, the wrong term in the series is 550.

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