Arithmetic Progressions Practice Problems Online

Which of the following sequences is an Arithmetic Progression?

\sqrt{1} , \sqrt{2} , \sqrt{3}, \sqrt{4}, \ldots

101, 202, 303, 404, \ldots

1, 2, 4, 8, \ldots

1, 0, 1, 0, \ldots

Suppose that when you are a teenager, your height increases at a steady rate of 3 inches every year. If your present height is 48 inches, then how many years will you take to grow to 66 inches tall?

The figure shows the concentric circles with radii $1, 3,5,7, \ldots$ and so on. Find the area of 18th circle.

364 \pi

1225 \pi

1156 \pi

18\pi

In the arithmetic progression $-110, -107, -104, \cdots,$ the $n^\text{th}$ term $a_n$ is the first positive number. What is $n$ ?

A sequence $\{a_n\}$ is defined as $a_1=12, a_{n+1}=a_n+3,$ where $n \in \mathbb{N}.$ What is the general term of $\{a_n\} ?$

a_n={3}n+{9}

a_n={4}n+{8}

a_n={2}n+{10}

a_n={5}n+{7}

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Arithmetic Progressions

Sequences and Series

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Arithmetic Progressions