Final answer:
The question pertains to determining the general term and the sum of the first n terms of an arithmetic sequence, a key concept in high school Mathematics involving algebra and sequence analysis.
Step-by-step explanation:
The question is about solving a specific problem using the general term of an arithmetic sequence and the sum of the first n terms of an arithmetic sequence. This falls within the subject of Mathematics, specifically algebra and sequences, and is generally taught in high school level courses.
To find the general term (also known as the nth term) of an arithmetic sequence, you can use the formula an = a1 + (n - 1)d, where a1 is the first term and 'd' is the common difference between the terms. For the sum of the first n terms (Sn), the formula is Sn = n/2 (2a1 + (n - 1)d).
For instance, if you have a sequence where the first term a1 is 5 and the common difference 'd' is 3, and you want to find the 10th term, you would substitute into the general term formula to get a10 = 5 + (10 - 1) × 3 = 5 + 27 = 32. To find the sum of the first 10 terms, use S10 = 10/2 (2× 5 + (10 - 1)× 3) = 5 (10 + 27) = 5 × 37 = 185.