Answer:
nth term = 5n - 2
Explanation:
The given sequence is 3, 8, 13, 18.
To find the nth term, we have to find the algebraic expression.
- Algebraic expression = dn + b
- 'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.
So, d = 8 - 3
d = 5
b = first term - common difference
b = 3 - 5
b = (-2)
Algebraic expression or the nth term =
5n + (-2)
5n - 2.
Thus, the nth term equals to 5n-2!