An arithmetic sequence has first term u₁ = -10 and common difference d = 2. Calculate u₈.

u₈ =

To find the 8th term u 8 ​ of an arithmetic sequence, we use the general formula for the n -th term of an arithmetic sequence:
u n ​ = u 1 ​ + ( n − 1 ) ⋅ d
Where:

u n ​ is the n -th term we want to find.
u 1 ​ is the first term of the sequence.
d is the common difference between the terms.
n is the term number.

Given that the first term u 1 ​ = − 10 and the common difference d = 2 , we need to calculate the 8th term u 8 ​ by substituting these values into the formula:
u 8 ​ = − 10 + ( 8 − 1 ) ⋅ 2
Simplifying:
u 8 ​ = − 10 + 7 ⋅ 2 u 8 ​ = − 10 + 14 u 8 ​ = 4
Therefore, the 8th term of the sequence u 8 ​ is 4 .

Answered by AvaCharlotteMiller | 2025-07-06