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find the 97th term of the arithmetic sequence -1,-12,-25

Sagot :

Answer:

[tex]a_{97}[/tex] = - 1247

Step-by-step explanation:

I think you copied the problem incorrectly.  The sequence as it stands is not  arithmetic.  Instead of the first term being -1, maybe it should be +1.  Then we have a common difference of -13.  So, that is what I will presume to be true.

The formula to use is

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

d = -13

[tex]a_{97}[/tex] = 1 + (97 - 1)(-13)

     = 1 + 96(-13)

     = 1 - 1248

     = - 1247

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