Answer:
60500
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 4 and d = 7 - 4 = 3, thus
[tex]S_{200}[/tex] = [tex]\frac{200}{2}[/tex] [ (2 × 4) + (199 × 3) ]
= 100(8 + 597)
= 100 × 605
= 60500
