For the sequence 1, 7, 25, 79, 241, 727 … simple formula for {an} is ____________(a) 3^n+1 – 2(b) 3^n – 2(c) (-3)^n + 4(d) n^2 – 2I had been asked this question in an interview.This intriguing question originated from Sequences and Summations topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

For the sequence 1, 7, 25, 79, 241, 727 … simple formula for {an} is

1.	For the sequence 1, 7, 25, 79, 241, 727 … simple formula for {an} is ____________(a) 3^n+1 – 2(b) 3^n – 2(c) (-3)^n + 4(d) n^2 – 2I had been asked this question in an interview.This intriguing question originated from Sequences and Summations topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right option is (b) 3^n – 2 To explain: The ratio of consecutive NUMBERS is close to 3. Comparing these terms with the sequence of {3^n} which is 3, 9, 27 …. Comparing these terms with the CORRESPONDING terms of sequence {3^n} and the NTH term is 2 LESS than the corresponding power of 3.

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