Answer:
An arithmetic sequence is a sequence such that the difference between two consecutive terms is a constant, and we can call it d.
Then the general recursive relation is:
Aₙ = Aₙ₋₁ + d.
And the sum of the first N terms of this sequence is given by:
S(N) = (N/2)*(2*A₁ + (N - 1)*d)
Where A₁ is the first term of the sequence.
In this case, we have:
A₁ = -4910
Aₙ = Aₙ₋₁ + 8
Then we have: d = 8
(it actually says:
ai = -4910
ai = Ai-1 +8
But that has no actual meaning, so I assumed that the first one was actually the first term of the sequence)
The sum of the first 575 terms of this sequence is given by:
S(575) = (575/2)*(2*(-4910) + (575 - 1)*8) = -1,503,050
