A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
1 answer:
9514 1404 393
Answer:
C. 31
Step-by-step explanation:
The recursive definition tells us the 4th term is 22 and the common difference is -3. This lets us write an explicit formula for the n-th term:
f(n) = f(4) +d(n -4)
f(n) = 22 -3(n -4) = 34 -3n
Substituting n=1 into this formula, we get ...
f(1) = 34 -3(1) = 31
The first term is f(1) = 31.
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