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34 votes
Write a simplified expression for the right half of the equation that can be used to find the nth term in the sequence The sequence is 9, 20, 31, 42, 53

User Ali Ganjbakhsh
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1 Answer

12 votes
12 votes

Given data:

The given sequence is 9, 20, 31, 42....

The first term is,


a=9

The common difference is,


\begin{gathered} d=20-9 \\ =11 \end{gathered}

The expression for nth term is,


a_n=a+(n-1)d

Substitute 9 for a, and 11 for d in the above expression.


\begin{gathered} a_n=9+(n-1)11 \\ =9+11n-11 \\ =11n-2 \end{gathered}

Thus, the expression for nth term is 11n-2.

User Asfaq Tamim
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