MATH SOLVE

6 months ago

Q:
# 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

Accepted Solution

A:

The sequence described by given explicit formula is: -4,-1,4,11,20,....Step-by-step explanation:Given explicit definition is:[tex]a_n = n^2-5[/tex]We will put n=1,2,3,.... to determine the sequenceSo,Putting n=1[tex]a_1 = (1)^2-5\\=1-5\\=-4[/tex]Putting n=2[tex]a_2 = (2)^2-5\\=4-5\\=-1[/tex]Putting n=3[tex]a_3 = (3)^2-5\\=9-5\\=4[/tex]Putting n=4[tex]a_4 = (4)^2-5\\=16-5\\=11[/tex]Hence,The sequence described by given explicit formula is: -4,-1,4,11,20,....Keywords: Sequence, Explicit formulaLearn more about sequence at:brainly.com/question/10879401brainly.com/question/10940255#LearnwithBrainly