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extend the number pattern below then write the number that would be the hundredth number in the pattern 5 10 15 20 25 30 35 40 45

Answer :

To find the nth term in a pattern we can use the formula:

[tex]a_n=dn+(a-d)[/tex]

where d is the difference between terms and a is the firt term of the pattern.

In this case a=5 and d=5. Then the nth term is:

[tex]\begin{gathered} a_n=5n+(5-5) \\ =5n \end{gathered}[/tex]

Therefore the 100 number in the pattern is:

[tex]a_{100}=5(100)=500[/tex]

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