Multiple choice general knowledge math & puzzles

0,2,6,30,260,__

  1. 2660

  2. 390

  3. 4320

  4. 3130
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The series follows: 0, 2×3=6, 6×5=30, 30×9-10=260, 260×12+10=3130. The multipliers (3, 5, 9, 12) increase with a pattern, and adjustments of ±10 alternate in later terms.

AI explanation

To identify the pattern in the given sequence, let's look at the differences between consecutive terms:

1st difference: 2 - 0 = 2 2nd difference: 6 - 2 = 4 3rd difference: 30 - 6 = 24 4th difference: 260 - 30 = 230

The differences between consecutive terms are not consistent. Therefore, we need to consider an alternative approach.

Let's try multiplying each term by a specific value to see if there is a pattern:

0 * 1 = 0 2 * 3 = 6 6 * 5 = 30 30 * 9 = 270 260 * 11 = 2860

Now, let's examine the second differences:

1st difference: 6 - 0 = 6 2nd difference: 30 - 6 = 24 3rd difference: 270 - 30 = 240 4th difference: 2860 - 270 = 2590

The second differences are not consistent either. However, we can observe that the values obtained by multiplying each term by a specific value are close to the corresponding terms in the given sequence.

Therefore, the next term in the sequence can be obtained by multiplying 260 by a specific value:

260 * 12 = 3120

Among the given options, the closest value to 3120 is option D) 3130.

Therefore, the correct answer is D) 3130.

Keep practicing — related questions