Final answer:
The sequence is arithmetic with a first term of 3 and a common difference of 40. The nth term is found using the formula Tn = a + (n - 1) * d, which for this sequence is Tn = 40n - 37.
Step-by-step explanation:
The sequence provided (3, 43, 83, 123, 163) appears to be arithmetic, where each term increases by 40. To find the nᵗʰ term of an arithmetic sequence, we use the formula:
Tn = a + (n - 1) * d, where:
- Tn is the nth term we want to find,
- a is the first term of the sequence,
- n is the term number,
- d is the common difference between the terms.
For this sequence:
Plugging into the formula:
Tn = 3 + (n - 1) * 40 simplifies to Tn = 40n - 37.
Therefore, the nᵗʰ term of the provided sequence is 40n - 37.