Question

If the nth term of a number sequence is n^2 + 2,find the first 3 terms and the 10th term ​

Answer 1

Answer:

The first three terms are $3,6,11$

The 10th term is $102$

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 $a_n=n^2+2$.

To find the first 3 terms, put $n=1,2,3$

$a_1=1^2+2=1+2=3\\a_2=2^2+2=4+2=6\\a_3=3^2+2=9+2=11$

To find the 10th term, put $n=10$ in $a_n=n^2+2$

$a_{10} =(10)^2+2=100+2=102$