A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
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The formula of the sequence shows f(n+1) = f(n) + 3. And we are given the value of the first term: f(1) = -4 Our goal is to find the next term: f(2). f(2) = f(1) + 3 f(2) = -4 + 3 f(2) = -1
Recursive equation should need a sentinel value. In the question given, the sentinel value is at f(1) = -4.