Final answer:
The sum Sn for the given arithmetic series with first term 1, common difference 6, and 8 terms is found to be 176 using the formula Sn = n/2 × (2a1 + (n - 1)d). Therefore, the sum of the first 8 terms of the given arithmetic series is 176.
Step-by-step explanation:
The student has asked to find Sn for an arithmetic series where the first term a1 is 1, the common difference d is 6, and the number of terms n is 8. To solve this problem, we can use the formula for the sum of the first n terms of an arithmetic series: Sn = n/2 × (2a1 + (n - 1)d).
Plugging the values into the formula gives us:
S8 = 8/2 × (2×1 + (8 - 1)×6)
S8 = 4 × (2 + 42)
S8 = 4 × 44
S8 = 176
Therefore, the sum of the first 8 terms of the given arithmetic series is 176.