Question

Find the nth term of 23 17 11 5

Answer 1

Here the general formula for this sequence is 29-6a; [a = index]

so for nth term, a = n,

and the value will be = 29-6n

Explanation:

Answer 2

`T_(n) =-6n +29`

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.

`T_(n) = a +(n-1)*d`

Let us find now,

`T_(n) = a +(n-1)*d\\T_(n) =23+(n-1)*(-6)\\T_(n) =23-6n+6\\T_(n) =-6n +29`

Hope this helps you.

Let me know if you have any other questions :-)