Create your own
teaching resources

Sign up for a free account to try! It takes less than 20 seconds

Teacherbot 30 Oct, 17:40:41

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.