Final answer:
The equation for the nth term of the arithmetic sequence -7, -2, 3, 8,... is aₙ = -7 + 5(n - 1). To find a₅₀, substitute n = 50 into the equation.
Step-by-step explanation:
The equation for the nth term of an arithmetic sequence can be found using the formula:
aₙ = a₁ + (n - 1)d
Where:
- aₙ is the nth term
- a₁ is the first term
- n is the position of the term
- d is the common difference between the terms
In this case, the first term (a₁) is -7 and the common difference (d) is 5. Therefore, the equation for the nth term is:
aₙ = -7 + 5(n - 1)
To find a₅₀, substitute n = 50 into the equation:
a₅₀ = -7 + 5(50 - 1) = -7 + 5(49) = -7 + 245 = 238