Find the first six terms of the sequence

{eq}a_1 = -6, \ a_n = 4a_{n-1} {/eq}.

## Question:

Find the first six terms of the sequence

{eq}a_1 = -6, \ a_n = 4a_{n-1} {/eq}.

## Mathematical Sequence:

The sequence is used to determine the terms and its value, we can find the type of sequence too using the general term of the sequence. We add all the terms of the sequence if we have to form a series.

## Answer and Explanation: 1

We have to find the first six terms of the sequence

{eq}a_1 = -6, \ a_n = 4a_{n-1} {/eq}

Here the first term is already given as

{eq}a_1 = -6 {/eq}

Now we have the second term as:

{eq}a_2 = 4a_{2-1}=4 a_1=-24\\ {/eq}

the third term is:

{eq}a_3 = 4a_{3-1}=4 a_2=-96\\ {/eq}

the fourth term is:

{eq}a_4 = 4a_{4-1}=4 a_3=-384\\ {/eq}

fifth term is:

{eq}a_5 = 4a_{5-1}=4 a_4=-1536\\ {/eq}

sixth term is:

{eq}a_6 = 4a_{6-1}=4 a_5=-6144\\ {/eq}

#### Learn more about this topic:

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Chapter 12 / Lesson 1Learn about the definition of sequence in math. Understand what finite and infinite mathematical sequences are and how they are represented. See examples of famous mathematical sequences that are commonly used.