Question

Write the first 5 terms of the sequence.

1. f(1)=35 and f(n)=f(n-1)-2 for each whole number n greater than 1.
2. f(1)=45 and f(n)=f(n-1)-4 for each whole number n greater than 1.

Answer 1

The first 5 terms of the sequence defined by f(n) = f(n-1) - 2 are 35, 33, 31, 29, 27.

Step-by-step explanation:

To find the first 5 terms of the sequence defined by f(n) = f(n-1) - 2, we start with f(1) = 35 and use the recursive formula to find the subsequent terms.

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

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