Find the first six terms of the sequence. $$ a_{1}=8, a_{n}=a_{n-1}+5 $$

Question

UpStudy AI · Accepted Answer

To find the first six terms of the sequence defined by $$ a_{1} = 8 $$ and $$ a_{n} = a_{n-1} + 5 $$, we can calculate each term step by step.

1. The first term is given:
   $$
   a_{1} = 8
   $$

2. The second term:
   $$
   a_{2} = a_{1} + 5 = 8 + 5 = 13
   $$

3. The third term:
   $$
   a_{3} = a_{2} + 5 = 13 + 5 = 18
   $$

4. The fourth term:
   $$
   a_{4} = a_{3} + 5 = 18 + 5 = 23
   $$

5. The fifth term:
   $$
   a_{5} = a_{4} + 5 = 23 + 5 = 28
   $$

6. The sixth term:
   $$
   a_{6} = a_{5} + 5 = 28 + 5 = 33
   $$

Thus, the first six terms of the sequence are:
$$
8, 13, 18, 23, 28, 33
$$
The first six terms of the sequence are 8, 13, 18, 23, 28, 33.

Find the first six terms of the sequence.