Number series (×n + n rule): compute the next term. Sequence: 2, 3, 8, 27, 112, ? At each step, multiply by the step index and add the same index. Choose the correct next value.

Rule ak+1 = ak·k + k (for k = 1, 2, 3, …) Verify 2 → 2·1 + 1 = 3 3 → 3·2 + 2 = 8 8 → 8·3 + 3 = 27 27 → 27·4 + 4 = 112 Next: 112 → 112·5 + 5 = 565

Difficulty: Easy

Correct Answer: 565

Explanation:

Rule
a_k+1 = a_k·k + k (for k = 1, 2, 3, …)

Verify
2 → 2·1 + 1 = 3 3 → 3·2 + 2 = 8 8 → 8·3 + 3 = 27 27 → 27·4 + 4 = 112 Next: 112 → 112·5 + 5 = 565

More Questions from Series Completion

No comments yet. Be the first to comment!