Find a formula for the general term {eq}a_n {/eq} of the sequence {eq}\{ 2, 7, 12, 17, \cdots \} {/eq}.

Question:

Find a formula for the general term {eq}a_n {/eq} of the sequence {eq}\{ 2, 7, 12, 17, \cdots \} {/eq}.

Arithmetic Progression:

An arithmetic progression is a sequence of real numbers such that from one term we pass to the next adding always the same constant value.

The general term of this type of sequence can be written as, {eq}{a_n} = {a_1} + \left( {n - 1} \right)d. {/eq}

Answer and Explanation: 1

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This sequence corresponds to an arithmetic sequence.

From the general formula of an arithmetic sequence, {eq}{a_n} = {a_1} + \left( {n - 1}...

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Special Sequences and How They Are Generated

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Chapter 21 / Lesson 17
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Special sequences are a string of numbers that have a unique pattern to them. Discover how special sequences are generated and some types such as triangular, tetrahedral, cube, square, and fibonacci sequences.


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