Question 6

Logical Reasoning Alphanumeric series Easy

Find the missing term in the given number series.

-1,0, 7, 26, 63, ?, 215, 342......

(A) 172
(B) 142
(C) 124
(D) 134
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Correct Answer: C (124)

The pattern in this number series is based on the cubes of consecutive integers.


Step-by-step Explanation:

Each term in the series is one less than a perfect cube, starting with the cube of 0.

  • $0^3 - 1 = 0 - 1 = -1$
  • $1^3 - 1 = 1 - 1 = 0$
  • $2^3 - 1 = 8 - 1 = 7$
  • $3^3 - 1 = 27 - 1 = 26$
  • $4^3 - 1 = 64 - 1 = 63$

Following this pattern, the next term should be $5^3 - 1$.

$$ 5^3 - 1 = 125 - 1 = 124 $$

To confirm, the subsequent terms would be $6^3 - 1 = 215$ and $7^3 - 1 = 342$, which match the given series.

Therefore, the missing term is 124.

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