To find A8, we can use the formula for the nth term of an arithmetic sequence:
An = A1 + (n-1)d
where An is the nth term, A1 is the first term, n is the position of the term, and d is the common difference.
We are given A1 = 1, so we can substitute that into the formula:
A8 = 1 + (8-1)d
To find the common difference, we can use the formula for the sum of an arithmetic sequence:
Sn = (n/2)(A1 + An)
We are given S8 = 120, so we can substitute that into the formula:
120 = (8/2)(1 + A8)
Simplifying, we get:
120 = 4(1 + A8) 30 = 1 + A8 A8 = 29
Therefore, A8 = 29.
To find An, we need to know the position of the term. If you provide the position, I can calculate the value of An using the formula An = A1 + (n-1)d.
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