corrinedavidson corrinedavidson
  • 22-06-2018
  • Mathematics
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What is the fifth term of the recursive formula a(n)=2a(n-1)-1 with the first term of 3? A. 7 B. 17 C. 33 D. 65

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jdoe0001 jdoe0001
  • 22-06-2018
[tex]\bf \begin{array}{ccll} n&term&value\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&a(1)&3\\ 2&a(2)&2a(2-1)-1\\ &&2a(1)-1\\ &&2(3)-1\\ &&5\\ 3&a(3)&2a(3-1)-1\\ &&2a(2)-1\\ &&2(5)-1\\ &&9\\ 4&a(4)&2a(4-1)-1\\ &&2a(3)-1\\ &&2(9)-1\\ &&17\\ 5&a(5)&2a(5-1)-1\\ &&2a(4)-1\\ &&2(17)-1\\ &&33 \end{array}[/tex]
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