AP Calc BC · Series

Unit 10: Infinite Sequences and Series

30 questions from past AP exams, newest first.

Question 6

Free-response questions 2026Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2026

Question 5

Free-response questions 2025Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2025

Question 6

Free-response questions 2025Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2025

Question 6

Free-response questions 2024Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2024

Question 6

Free-response questions 2023Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2023

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Question 6

Free-response questions 2022Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2022

Question 5

Free-response questions 2021Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2021

Question 6

Free-response questions 2021Open answer

$Question 6 — 6. The function g has derivatives of all orders for all real numbers. The Maclaurin series for g is given by g o f x e q u a l s , t h e s um, from n equals 0, to infinity, of the fraction with numerator, open…$

Source: College Board — AP Calculus BC, Free-response questions, 2021

Question 6

Free-response questions 2019Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2019

Question 6

Free-response questions 2018Open answer

$Question 6 — x m i nu s , t he f r ac t i on x squar e d o ver 2 , end fraction, plus the fraction x cubed over 3, end fraction, minus the fraction x to the fourth power, over 4, end fraction, plus, dot dot dot, plus open…$

Source: College Board — AP Calculus BC, Free-response questions, 2018

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Question 5

Free-response questions 2017Open answer

$Question 5 — f o f x, e q u a ls, th e fraction with numerator 3, and denominator 2 times, x squared, minus, 7 x, plus 5, end fraction th e f ra ct ion w it h nu m er a t or 3, and denominator 2 times, x squared, minus, 7 x, plus 5,…$

Source: College Board — AP Calculus BC, Free-response questions, 2017

Question 6

Free-response questions 2017Open answer

$Question 6 — f o f x fo r a bsolute value of x, less than 1 x minus, the fraction with numerator x squared, and denominator 2, plus, the fraction with numerator x cubed, and denominator 3, minus, the fraction with numerator x to the…$

Source: College Board — AP Calculus BC, Free-response questions, 2017

Question 6

Free-response questions 2016Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2016

Question 6

Free-response questions 2015Open answer

$Question 6 — 6. The Maclaurin series for a function f is given by t h e s u m f r o m n e q u a l s 1 t o i n f i n i t y , o f the fraction with numerator open parenthesis negative 3 close parenthesis superscript n minus 1, and…$

Source: College Board — AP Calculus BC, Free-response questions, 2015

Question 6

Free-response questions 2014Open answer

$Question 6 — 6. The Taylor series for a function f about x = 1 is given by t h e s u m f rom n equals 1 to infinity of negative one superscript quantity n plus one, times the fraction 2 superscript n over n, times open parenthesis x…$

Source: College Board — AP Calculus BC, Free-response questions, 2014

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Question 6

Free-response questions 2013Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2013

Question 6

Free-response questions 2012Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2012

Question Section I · 5

Full practice exam 2012Multiple choice

Source: College Board — AP Calculus BC, Full practice exam, 2012

Question Section I · 9

Full practice exam 2012Multiple choice

Source: College Board — AP Calculus BC, Full practice exam, 2012

Question Section I · 13

Full practice exam 2012Multiple choice

Source: College Board — AP Calculus BC, Full practice exam, 2012

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Question Section I · 17

Full practice exam 2012Multiple choice

Source: College Board — AP Calculus BC, Full practice exam, 2012

Question Section I · 22

Full practice exam 2012Multiple choice

Source: College Board — AP Calculus BC, Full practice exam, 2012

Question Section I · 27

Full practice exam 2012Multiple choice

Source: College Board — AP Calculus BC, Full practice exam, 2012

Question Section I · 79

Full practice exam 2012Multiple choice

Source: College Board — AP Calculus BC, Full practice exam, 2012

Question Section I · 90

Full practice exam 2012Multiple choice

Source: College Board — AP Calculus BC, Full practice exam, 2012

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Question Section II · 6

Full practice exam 2012Open answer

Source: College Board — AP Calculus BC, Full practice exam, 2012

Question 6

Free-response questions 2011Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2011

Question 6

Free-response, form B 2011Open answer

Source: College Board — AP Calculus BC, Free-response, form B, 2011

Question 6

Free-response questions 2010Open answer

Source: College Board — AP Calculus BC, Free-response questions, 2010

Question 6

Free-response, form B 2010Open answer

Source: College Board — AP Calculus BC, Free-response, form B, 2010

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