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The first five terms of a pattern are given below.13, 19, 25, 31, 37, ...

The First Five Terms Of A Pattern Are Given Below13 19 25 31 37 class=

Sagot :

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]

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