Answer:
[tex]T_{n} =-6n +29[/tex]
Step-by-step explanation:
First we have find the common difference between the 2 numbers,
17 - 23 = (-6)
11 - 17 = (-6)
5 - 11 = (-6)
So, the common difference is (-6)
That means,
d = (-6)
And we know the first term,
That means,
a = 23
Now lets use this formula to find the nth term.
[tex]T_{n} = a +(n-1)*d[/tex]
Let us find now,
[tex]T_{n} = a +(n-1)*d\\T_{n} =23+(n-1)*(-6)\\T_{n} =23-6n+6\\T_{n} =-6n +29[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
