Final answer:
The student's question relates to summing an undefined series using given constants for a quadratic equation. However, without the specific series or equation, it is not possible to provide a solution or sum. The quadratic formula is referenced, but a definitive answer cannot be given without further context.
Step-by-step explanation:
The student has not provided the series that needs to be summed, however, they have mentioned values for a, b, and c. It seems the information provided pertains to solving a quadratic equation of the form at² + bt + c = 0 using the quadratic formula. With the given values a = 2, b = 3, and c = 4, the quadratic formula becomes:
-b ± √(b² - 4ac) / 2a, which simplifies to:
-3 ± √(3² - 4(2)(4)) / (2(2)),
However, without a clear question, we cannot proceed to solve for the roots of this equation or sum a series. For assistance with a particular series or quadratic equation, please provide the complete question.