ajowens32602 ajowens32602
  • 09-10-2018
  • Mathematics
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The five terms of the sequence described by recursive function

The five terms of the sequence described by recursive function class=

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jimrgrant1 jimrgrant1
  • 09-10-2018

22, 76, 238, 724, 2182

to generate the terms substitute n = 0, 1, 2, 3, 4 into the recursive function

[tex]a_{1}[/tex] = 3[tex]a_{0}[/tex] + 10 = ( 3 × 4 ) + 10 = 22

[tex]a_{2}[/tex] = 3[tex]a_{1}[/tex] + 10 = (3 × 22)+ 10 = 76

[tex]a_{3}[/tex] = 3[tex]a_{2}[/tex] + 10 = ( 3× 76) + 10 = 238

[tex]a_{4}[/tex] = 3[tex]a_{3}[/tex] + 10 = ( 3 × 238) + 10 = 724

[tex]a_{5}[/tex] = 3[tex]a_{4}[/tex] + 10 = (3 × 724) + 10 = 2182


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