General formula for nth term in arithmetic sequence an = a₁ + d(n - 1)
Given: Arithmetic sequence with: a₁ = 190
d = a₂ - a₁ d = 198 - 190 d = 8
Asked: the rule and the 10th term
Solution Find the rule of the sequence, use the general formula of nth term an = a₁ + d(n - 1) an = 190 + 8(n - 1) an = 190 + 8n - 8 an = 8n + 182 The arithmetic sequence is determined with the rule 8n + 182 (n is the number of term)
Find the 10th term, use the rule an = 8n + 182 a₁₀ = 8(10) + 182 a₁₀ = 80 + 182 a₁₀ = 262 The 10th term is 262
A negative integer times a negative integer is the same as a positive integer times a positive integer, so this would be the same as (8)(3) which is 24.
