Given:
13, 19, 25, 31, 37, ...
Required:
We need to find the expression to determine the nth term of the given pattern.
Explanation:
Consider the individual options.
1)
[tex]7+6n[/tex]
Substitute n=1 in the expression we get the first term.
[tex]7+6(1)=13[/tex]
Substitute n=2 in the expression we get the second term.
[tex]7+6(2)=7+12=19[/tex]
Substitute n=3 in the expression we get the third term.
[tex]7+6(3)=7+18=25[/tex]
Substitute n=4 in the expression we get the fourth term.
[tex]7+6(4)=7+24=31[/tex]
Substitute n=5 in the expression we get the fifth term.
[tex]7+6(5)=7+30=37[/tex]
All five terms of the given pattern satisfy the expression 7+6(n).
Hence the nth term of the given pattern is 7+6(n).
Final answer:
[tex]7+6(n)[/tex]
