Question

Which sequence could be described by the explicit definition: a n = n 2 − 5

Answer 1

The sequence represented by given explicit definition is:

-4,-1,4,11,20,....

Step-by-step explanation:

We will find the terms of the sequence to find the right sequence for given explicit definition

Given explicit formula is:

$a_n=n^2-5$

We will put n=1,2,3,4,5...... in the formula

So,

Putting n=1

$a_1=(1)^2-5\\=1-5\\=-4$

Putting n=2

$a_2=(2)^2-5\\=4-5\\=-1$

Putting n=3

$a_3=(3)^2-5\\=9-5\\=4$

Putting n=4

$a_4=(4)^2-5\\=16-5\\=11$

so, comparing the values with given options we can conclude that

The sequence represented by given explicit definition is:

-4,-1,4,11,20,....

Keywords: Sequence, Explicit definition

Learn more about sequences at:

• brainly.com/question/10703930
• brainly.com/question/10772025

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