Question

Which of the following functions best defines this sequence?

O f(1) =7, f(n + 1)= f(n) + 3; for n 1
O (1)-7. f(n + 1) + f(n)-3: for n 1
O f(1) -7, f(n + 1) = f(n) -4: for n1
O f(1) -7, f(n + 1) - f(n) +4: for n 1

Answer 1

The explicit formula for the given sequence is f(n) = 7 + 3(n - 1).

Step-by-step explanation:

The given sequence is defined by the recurrence relation f(n + 1) = f(n) + 3, with f(1) = 7. To find the explicit formula for this sequence, we start with the initial term f(1) = 7. Then, for each subsequent term, we add 3 to the previous term. Therefore, the explicit formula for this sequence is f(n) = 7 + 3(n - 1).