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Find the nth term of 23 17 11 5

Sagot :

shahrearabedin

Answer:

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

Step-by-step explanation:

Hi1315

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 :-)

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