Write the first five terms of the sequence. $$ f(0)=-7, f(n)=f(n-1)+8 $$

Question

UpStudy AI · Accepted Answer

To find the first five terms of the sequence defined by $$ f(0) = -7 $$ and $$ f(n) = f(n-1) + 8 $$, we will calculate each term step by step.

1. **First term**: 
   $$
   f(0) = -7
   $$

2. **Second term**: 
   $$
   f(1) = f(0) + 8 = -7 + 8 = 1
   $$

3. **Third term**: 
   $$
   f(2) = f(1) + 8 = 1 + 8 = 9
   $$

4. **Fourth term**: 
   $$
   f(3) = f(2) + 8 = 9 + 8 = 17
   $$

5. **Fifth term**: 
   $$
   f(4) = f(3) + 8 = 17 + 8 = 25
   $$

Now, we can summarize the first five terms of the sequence:
- $$ f(0) = -7 $$
- $$ f(1) = 1 $$
- $$ f(2) = 9 $$
- $$ f(3) = 17 $$
- $$ f(4) = 25 $$

Thus, the first five terms of the sequence are:
$$
-7, 1, 9, 17, 25
$$
The first five terms of the sequence are -7, 1, 9, 17, and 25.

Write the first five terms of the sequence. \( f(0)=-7, f(n)=f(n-1)+8 \)