Find the a 0 </msub> , a 1 </msub> , a 2 <

Case Nixon

Case Nixon

Answered question

2022-05-31

Find the a 0 , a 1 , a 2 , and lim a n for the following sequences: 3 × 10 = 30
1) a n = ( 7 + 3 n ) / ( 5 2 n )
2) a n = ( 8 n ) / ( 9 n 2 )
3) a n = 1 / 2 a n + 8 / a n   ( a 0 = 1   g i v e n )

Answer & Explanation

Mya Hurst

Mya Hurst

Beginner2022-06-01Added 13 answers

a n = 7 + 3 n 5 2 n
a 0 = 7 5
a 1 = 10 3
a 2 = 13 1 = 13
lim n a n = lim n 7 + 3 n 5 2 n
= lim n n ( 3 + 7 n ) n ( 2 + 5 n )
= lim n 3 + 7 n 2 + 5 n
= 3 2
Chaz Blair

Chaz Blair

Beginner2022-06-02Added 4 answers

2) a n = 8 n 9 n 2
a 0 = 0
a 1 = 8 8 = 1
a 2 = 16 5
lim n a n = lim n 8 n 9 n 2
= lim n 8 n n 2 ( 1 + 9 n 2 )
= lim n 8 n lim n ( 1 + 9 n 2 )
= 0 1 + 0 = 0

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