Question

Write the first 5 terms of the sequence.

f(1)=35 and f(n)=f(n-1)-2 for each whole number n greater than 1.

Answer 1

The first 5 terms of the given sequence can be found by applying the recursive definition.

Step-by-step explanation:

The given sequence is defined recursively as follows: f(1) = 35 and f(n) = f(n-1) - 2 for n > 1. To find the first 5 terms of the sequence, we can apply the recursive definition step-by-step:

1. f(1) = 35 (given)
2. f(2) = f(2-1) - 2 = f(1) - 2 = 35 - 2 = 33
3. f(3) = f(3-1) - 2 = f(2) - 2 = 33 - 2 = 31
4. f(4) = f(4-1) - 2 = f(3) - 2 = 31 - 2 = 29
5. f(5) = f(5-1) - 2 = f(4) - 2 = 29 - 2 = 27

So, the first 5 terms of the sequence are 35, 33, 31, 29, and 27.