Answer:
- 340
Step-by-step explanation:
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( a + l ) → a is the first term and l the last term
Here a = - 76 and [tex]S_{45}[/tex] = - 9360 , thus
[tex]\frac{45}{2}[/tex] ( - 76 + l ) = - 9360
22.5(- 76 + l) = - 9360 ( divide both sides by 22.5 )
- 76 + l = - 416 ( add 76 to both sides )
l = - 340 ← the last term in the sequence
