Arithmetic Progressions

Intro

Concept Quizzes

Arithmetic Progressions Warmup
Arithmetic Progression Properties
Finding the Common Difference - Arithmetic Progressions
Finding the nth Term - Arithmetic Progressions
Arithmetic Progression Comparisons
Arithmetic Mean
Arithmetic Progression Sum
Arithmetic Progressions - Problem Solving

Challenge Quizzes

Arithmetic Progressions: Level 1 Challenges
Arithmetic Progressions: Level 2 Challenges
Arithmetic Progressions: Level 3 Challenges
Arithmetic Progressions: Level 4 Challenges

Arithmetic Progressions Warmup

If $9, b, c, 18$ is an arithmetic progression, what is the value of $c?$

6 12 15 16.5 Not enough information is given to determine the answer

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by Brilliant Staff

True or false?

If $(A, B, C, D,...)$ and $(a, b, c, d,...)$ are both arithmetic progressions, then $(A-a, B-b, C-c, D-d, ...)$ is guaranteed to also be an arithmetic progression.

True False

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by Brilliant Staff

Jaspreet had $5 in her account on Day 1.

On each subsequent day after Day 1, she deposited a constant amount into her account.

At the end of Day 101, she has $305.

How many dollars did she have in her account at the end of Day 3?

100 300 11 16

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by Brilliant Staff

Suppose $a, b, c, d, ...$ is an arithmetic progression with $b = 8.$ What is the average (arithmetic mean) of $a, b,$ and $c?$

4 8 Not enough information is given to determine the answer

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by Brilliant Staff

$5,9,a,b,c,...$

If this sequence is an arithmetic progression, what is the value of $c?$

21 22 23 24 25

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by Brilliant Staff