How do you find the first five terms given a_1=3/4, a_(n+1)=n^2+1/n*a_n?

zementj5 2022-09-18 Answered
How do you find the first five terms given a 1 = 3 4 , a n + 1 = n 2 + 1 n a n ?
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Answers (1)

tucetiw0
Answered 2022-09-19 Author has 12 answers
As a 1 = 3 4
a 2 = a 1 + 1 = 1 2 + 1 1 a 1 = 2 3 4 = 3 2
a 3 = a 2 + 1 = 2 2 + 1 2 a 2 = 5 2 3 2 = 15 4
a 4 = a 3 + 1 = 3 2 + 1 3 a 3 = 10 3 15 4 = 25 2
a 5 = a 4 + 1 = 4 2 + 1 4 a 3 = 17 4 25 2 = 425 8
and sequence is { 3 4 , 3 2 , 15 4 , 25 2 , 425 8 , ... ... ... ... }

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