# Write the first four terms of the sequence whose general term is given by: {eq}a_n = 4_n + 1 {/eq} {eq}a_1 {/eq} = ?

## Question:

Write the first four terms of the sequence whose general term is given by:

{eq}a_n = 4_n + 1 {/eq}

{eq}a_1 {/eq} = ?

## Arithmetic Sequence:

An arithmetic sequence is a series of numbers formed when the next term formed by adding a constant number to the preceding term. For example, the sequence {eq}0, 2, 4, 6, 8, 10 {/eq} is an arithmetic sequence since the difference between a term and its preceding term is 2.

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We have the series:

$$a_n = 4_n + 1$$

The first four terms of the sequence will be defined by {eq}a_1 {/eq} for {eq}n=1 {/eq}, {eq}a_2 {/eq}... Writing Rules for Arithmetic Sequences

from

Chapter 9 / Lesson 7
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Understand what an arithmetic sequence is and discover how to solve arithmetic sequence problems using the explicit and recursive formulas. Learn the formula that explains how to sum a finite number of terms of an arithmetic progression.