Q:

Which sequence could be described by the explicit definition: a n = n 2 βˆ’ 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 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 definitionGiven explicit formula is: [tex]a_n=n^2-5[/tex]We will put n=1,2,3,4,5...... in the formulaSo,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]so, comparing the values with given options we can conclude thatThe sequence represented by given explicit definition is:-4,-1,4,11,20,....Keywords: Sequence, Explicit definitionLearn more about sequences at:brainly.com/question/10703930brainly.com/question/10772025#LearnwithBrainly