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AP Calculus BC MCQ Question with Answer

AP Calculus BC MCQ with detailed explanation for interview, entrance and competitive exams. Explanation are given for understanding.

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Question No : 1
What is the sum of the first n terms of an arithmetic series with first term a and common difference d?

n(a + d)
n(2a + (n-1)d)/2
n(a + d)/2
a + nd
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Question No : 2
If a curve C is parameterized by r(t) = , what type of curve is it?

A line
A circle
A parabola
An ellipse
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Question No : 3
What is the nth term of the geometric sequence: 3, 6, 12, 24, ...?

3^n
3^(n+1)
2^n
2^(n+1)
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Question No : 4
The Alternating Series Test can be used to determine the convergence of a series if:

The series terms are all positive.
The series terms alternate in sign and decrease in absolute value.
The series has a finite number of terms.
The series has a constant rate of growth.
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Question No : 5
Which test can be used to determine the convergence or divergence of a series when the terms are positive, decreasing, and approach zero?

Integral Test
Ratio Test
Alternating Series Test
Divergence Test
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Question No : 6
What is the sum of the infinite geometric series: 1 + 1/2 + 1/4 + 1/8 + ...?

1
2
4
8
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Question No : 7
Which of the following parametric equations represents a horizontal line?

x = t, y = 0
x = 0, y = t
x = t, y = t
x = 0, y = 0
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