Series: 8, 29, 92, 281, 848, 2549 If P is the n^th term of the given series and 'Q' is the (n + 1)^th term of the given series, choose the correct statement from the following options (i), (ii), and (iii). (i) P = 3Q + 5 (ii) Q = 3P + 5 (iii) The difference between the 1^st and 2^nd term is one third of the difference between the 2^nd and 3^rd term and so on.

To find the relationship between consecutive terms P and Q, observe that 29 = 3 * 8 + 5, 92 = 3 * 29 + 5, and 281 = 3 * 92 + 5, proving the rule Q = 3P + 5. To evaluate the third statement, calculate the differences between consecutive terms as 21, 63, 189, and so on. The difference between the first and second term is 21, which is exactly one third of the difference between the second and third term (63), proving this relationship continues for the series. Therefore, only statements (ii) and (iii) are correct.

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