Multiple choice general knowledge math & puzzles

0,7,26,63, ? ,215

  1. 214

  2. 142

  3. 124

  4. 152
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The pattern is n³ - 1: 1³-1=0, 2³-1=7, 3³-1=26, 4³-1=63, 5³-1=124, 6³-1=215. The missing term is 124. This is a classic cubic sequence where each term is one less than a perfect cube. The differences increase as: 7, 19, 37, 61, 91 - following the pattern of 6n+1 for successive n.

AI explanation

To solve this sequence, let's examine the pattern between the given numbers: 0, 7, 26, 63, ?, 215.

If we look closely, we can see that each number in the sequence is obtained by raising the index of the term to the power of 3 and subtracting the result from the next perfect cube.

Let's break it down:

  • The first term is 0, which is equal to 1^3 - 1.
  • The second term is 7, which is equal to 2^3 - 1.
  • The third term is 26, which is equal to 3^3 - 1.
  • The fourth term is 63, which is equal to 4^3 - 1.

So, to find the missing term, we need to calculate 5^3 - 1.

Using this pattern, we can conclude that the missing term is 124.

Therefore, the correct answer is C) 124.

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