Answer:
The first three terms are [tex]3,6,11[/tex]
The 10th term is [tex]102[/tex]
Step-by-step explanation:
An ordered list of numbers is known as a sequence such that each number in the sequence is called a term.
The nth term is [tex]a_n=n^2+2[/tex].
To find the first 3 terms, put [tex]n=1,2,3[/tex]
[tex]a_1=1^2+2=1+2=3\\a_2=2^2+2=4+2=6\\a_3=3^2+2=9+2=11[/tex]
To find the 10th term, put [tex]n=10[/tex] in [tex]a_n=n^2+2[/tex]
[tex]a_{10} =(10)^2+2=100+2=102[/tex]
