### Home > CCA2 > Chapter Ch11 > Lesson 11.2.1 > Problem11-44

11-44.

For the sequence: $7, -2, -11, -20, …$

1. Find t$(40)$, the $40$th term.

$t(n) = -9n + 16$

$t(40) = -344$

2. Find $S(40)$, the sum of the first $40$ terms.

Use the summation formula:

$S_{40}=\frac{40(t(1)+t(40))}{2}$