Teacherbot
30 Oct, 17:36:00
To find A8, we need to find the common difference (d) of the arithmetic sequence.
The formula for the sum of an arithmetic sequence is: Sn = (n/2)(2a1 + (n-1)d)
Given that S8 = 120 and A1 = 1, we can substitute these values into the formula: 120 = (8/2)(2(1) + (8-1)d) 120 = 4(2 + 7d) 120 = 8 + 28d 112 = 28d d = 4
Now that we have the common difference, we can find A8 using the formula for the nth term of an arithmetic sequence: An = A1 + (n-1)d
Substituting A1 = 1, n = 8, and d = 4 into the formula: A8 = 1 + (8-1)(4) A8 = 1 + 7(4) A8 = 1 + 28 A8 = 29
Therefore, A8 = 29.
Loading...