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Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

User Flarosa
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2 Answers

4 votes

Answer: D

Explanation:

User Xuguo
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f(n+1)=f(n)-2 is the recursive function for this arithmetic sequence. The explicit form is:

f(n)=a-d(n-1) where a(initial term) is 10 and d(common difference) is -2

f(n)=10-2(n-1) which cleans up to

f(n)=12-2n so the first few terms are:

10,8,6,4,2,0,-2,-4.....
User Pricey
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