Multiple choice

Find the missing number in the series: 2, 10, 74, 290, 802, 1802, ____

  1. 3133

  2. 3530

  3. 4350

  4. 3690

  5. 4790
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The pattern is x(n) = x(n-1) * 4 + 2. 2*4+2=10, 10*4+34? No. Let's check: 10-2=8, 74-10=64, 290-74=216, 802-290=512, 1802-802=1000. Differences: 8, 64, 216, 512, 1000. These are 2*2^3, 8*2^3, 27*2^3, 64*2^3, 125*2^3. The next difference is 216*8 = 1728. 1802 + 1728 = 3530.

AI explanation

The differences between consecutive terms are 8, 64, 216, 512, and 1000. These differences represent the cubes of 2, 4, 6, 8, and 10 respectively. The next difference must be the cube of 12, which is 1728. Adding 1728 to 1802 gives 3530.

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