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A(n+1)=A(n)+4 for n21 and A(1)=-6*
Helllllp

1 Answer

3 votes

9514 1404 393

Answer:

74

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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