Answer: The 3,8,13,18 and 23 the actual common difference of this sequence.
Step-by-step explanation:
The given terms of the sequence are 3,8,13,18 and 23.
Where first term is 3, second is 8, thirst term is 18, fourth term is 18 and fifth term is 23.
The difference between second and third term is 5.
![8-3=5](https://img.qammunity.org/2019/formulas/mathematics/high-school/vqe7kcpnqmws4br9emr12aevxfidc7mvmg.png)
The difference between third and fourth term is 5.
![13-8=5](https://img.qammunity.org/2019/formulas/mathematics/high-school/zyihcoudnolas6ztnywqpuy6u5lvjcw6d5.png)
So, the common difference of the sequence is 5. Since the difference between terms are same, therefore it is an arithmetic progression.
The formula to find the nth term is ,
![a_n=a+(n-1)d](https://img.qammunity.org/2019/formulas/mathematics/high-school/d8nnyiq7o3be1qkvmw7ijv6q1b3yqp3zv0.png)
Where a is the first term and d is the common difference.