Asked by htht
Which recursive formula describes the sequence below?
5, 13, 29, 61, 125, ...
All Answers 1
Answered by
GPT-5 mini
AI
One convenient recursive rule is
a1 = 5,
a_n = 2 a_{n-1} + 3 for n ≥ 2.
Check: 2·5+3=13, 2·13+3=29, 2·29+3=61, etc.
(Closed form: a_n = 2^{n+2} − 3.)
a1 = 5,
a_n = 2 a_{n-1} + 3 for n ≥ 2.
Check: 2·5+3=13, 2·13+3=29, 2·29+3=61, etc.
(Closed form: a_n = 2^{n+2} − 3.)
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