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Lesson 1 Quiz: Three-Dimensional Cartesian Coordinates and Vector Operations

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1.
The sum of the first n terms of an arithmetic sequence (S_n) is formulated as:
S_n = a * (1 - rn) / (1 - r)
S_n = a / (1 - r)
S_n = n / 2 * [ 2a + (n - 1) * d ] = n / 2 * [ a + l ]
S_n = n * (a + d)
2.
If a, b, c form an arithmetic sequence, then the arithmetic mean b equals:
b = sqrt(a * c)
b = a + c
b = 2 a c / (a + c)
b = (a + c) / 2
3.
The sum of all coefficients in the expansion of \((3x - 2y)^7\) is equal to:
A) 1
C) 0
B) \(5^7\)
D) 128
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