Final answer:
To find the nth term of an arithmetic sequence, use the formula nth term = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.
Step-by-step explanation:
To find the nth term of an arithmetic sequence, we need to determine the common difference first. The common difference is the difference between consecutive terms in the sequence.
Let's denote the first term of the sequence as 'a' and the common difference as 'd'.
Given that the third term is 802 and the fifth term is 1602, we can set up two equations:
- a + 2d = 802
- a + 4d = 1602
Solving these two equations, we find that 'a = 202' and 'd = 300'. Therefore, the nth term of the sequence can be expressed as:
nth term = a + (n-1)d
Substituting the values 'a = 202' and 'd = 300', we get:
nth term = 202 + (n-1) * 300