Answer:
[tex]\large \boxed{-187}[/tex]
Step-by-step explanation:
The formula for the sum of n terms of an arithmetic sequence is
aₙ = a₁ + (n-1)d
If a₁ = -40, d = -7, and n = 22
[tex]\begin{array}{rcl}S_{22} & = & -40 + (22 - 1)(-7)\\& = &-40 + 21(-7)\\& = & -40 - 147\\& = & \mathbf{-187}\\\end{array}\\ \text{The sum of the first 22 terms is $\large \boxed{\mathbf{-187}}$}[/tex]
