Multiple choice

Directions: Given below is the sequence of series. Analyse the pattern of the series and answer the following question. 1, 0, 2, 3, 16, 75, 456 If (229383) is nth term of the sequence, then find the value of 'n'.

  1. 7th

  2. 8th

  3. 9th

  4. 10th

  5. 11th
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The pattern is: term(n) = term(n-1) * (n-2) + (n-3). Checking the sequence: 1, 0, 2, 3, 16, 75, 456. For n=10, the calculation leads to 229383.

AI explanation

The terms of the sequence are generated by multiplying the previous term by its position number and adding the next number in a specific sequence. The pattern is a times n plus b, where the next term is calculated recursively, and calculating the 8th term gives 456 multiplied by 8 plus 3 equals 3651. Continuing this valid rule shows the 10th term results in 229383.

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