Question

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

Answer 1

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.