Sequence and series

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RealizableWashington
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9 Questions

Which of the following is the quadratic equation in standard form?

$4x^2 - 7x - 1 = 0$

Which of the following represents the discriminant of a quadratic equation?

$b^2 - 4ac$

What is the nature of the roots of a quadratic equation if the discriminant is zero?

Real and equal

What is the sum of the first 10 terms of the arithmetic sequence $3, 7, 11, 15, ...$?

320

In a geometric series, if the first term is 5 and the common ratio is 2, what is the 8th term of the series?

1280

For the series $1 + 2 + 4 + 8 + ...$, what is the sum of the first 10 terms?

4094

What is the sum of the first 10 terms of the geometric sequence $3, 6, 12, ...$?

$19,683$

What is the 12th term of the arithmetic sequence $-3, 0, 3, 6, ...$?

$36$

What is the nature of the roots of a quadratic equation if the discriminant is negative?

Imaginary

Test your knowledge of quadratic equations with this quiz. Identify the standard form of a quadratic equation, understand the discriminant, and determine the nature of roots based on the discriminant value.

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