Multiple choice general knowledge math & puzzles

0.333, 2, 5.4, 10.666,....

  1. 17.657

  2. 17.957

  3. 17.757

  4. 17.857

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The sequence is (n^3)/3 for n=1, 2, 3, 4... 1^3/3 = 0.333; 2^3/3 = 2.666 (Wait, the sequence says 2). If the sequence is n*(n+1)*(n+2)/18? No. The pattern is (n^3 + n)/6? No. If we use (n^3 + n^2)/12: (1+1)/12=0.16. The pattern is (n^3 + n^2 + n)/9? No. Actually, (n^3 + n)/3: (1+1)/3=0.66. Let's try n^2 * (n+1) / 12: 1*2/12=0.16. The correct pattern is n^3 / 3 + (n-1). 1/3+0=0.333; 8/3+1=3.66 (No). The logic for 17.857 usually comes from a specific polynomial or fractional series; 17.857 is 125/7 or similar.