Math + Code Quiz Flashcards

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What is the equation for the sum of the first $n$ natural numbers?

The sum of the first $n$ natural numbers is given by the formula:

$\sum_{i = 1}^{n} i = \frac{n (n + 1)}{2}$

What does the Pythagorean theorem state?

For a right triangle with legs

a

and

b

and hypotenuse

c

$a^{2} + b^{2} = c^{2}$

What is the derivative of $e^{x}$ ?

$\frac{d}{d x} e^{x} = e^{x}$

The exponential function is its own derivative.

What does this Python expression return?

[x**2 for x in range(5)]

[0, 1, 4, 9, 16]

A list comprehension that squares each number from 0 to 4.

What is the output of this Python code?

d = {"a": 1, "b": 2}
print(d.get("c", 0))

dict.get(key, default) returns the default value when the key is missing instead of raising a KeyError.

What is Euler's identity?

$e^{i π} + 1 = 0$

It connects five fundamental constants: $e$ , $i$ , $π$ , $1$ , and $0$ .

How do you reverse a list in Python in place?

nums = [1, 2, 3, 4, 5]
nums.reverse()
# nums is now [5, 4, 3, 2, 1]

list.reverse() mutates the list and returns None.

What is the quadratic formula?

For $a x^{2} + b x + c = 0$ :

$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

What does zip do in Python?

list(zip([1,2,3], ["a","b","c"]))

[(1, 'a'), (2, 'b'), (3, 'c')]

zip pairs elements from multiple iterables by index.

What does a binary tree traversal look like?

In-order: D, B, E, A, F, C, G