Question

Which sequence could be described by the explicit definition: LaTeX: a_n=n^2-5a n = n 2 − 5 Group of answer choices
1,-4,4,11,116,...
1,2,3,4,5,6,...
-4,-1,4,11,20,....
-4,11,116,13451

Answer 1

The sequence described by given explicit formula is: -4,-1,4,11,20,....

Step-by-step explanation:

Given explicit definition is:

$a_n = n^2-5$

We will put n=1,2,3,.... to determine the sequence

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

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

Hence,

The sequence described by given explicit formula is: -4,-1,4,11,20,....

Keywords: Sequence, Explicit formula

Learn more about sequence at:

• brainly.com/question/10879401
• brainly.com/question/10940255

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