kaciamccray6 kaciamccray6
  • 25-01-2021
  • Mathematics
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A(n+1)=A(n)+4 for n21 and A(1)=-6*
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sqdancefan
sqdancefan sqdancefan
  • 25-01-2021

9514 1404 393

Answer:

  74

Step-by-step explanation:

The recursive definition is for an arithmetic sequence with a first term of -6 and a common difference of 4.

The general term of such a sequence is ...

  a(n) = a(1) +d(n -1)

This sequence is ...

  a(n) = -6 +4(n -1) = 4n -10

Then for n = 21, the term is ...

  a(21) = 4(21) -10 = 84 -10

  a(21) = 74

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