Sequences and Series

Arithmetic Progressions


Which of the following sequences is an Arithmetic Progression?

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, 1, 3,5,7, \ldots and so on. Find the area of 18th circle.

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

A sequence {an}\{a_n\} is defined as a1=12,an+1=an+3,a_1=12, a_{n+1}=a_n+3, where nN.n \in \mathbb{N}. What is the general term of {an}?\{a_n\} ?


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