Seudónimo Seudónimo
  • 01-06-2020
  • Mathematics
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Find the 96th term of the arithmetic sequence
-3, -14, -25, ...

Respuesta :

PhantomWisdom PhantomWisdom
  • 06-06-2020

Answer:

The 96th term of the given AP is (-1048)

Step-by-step explanation:

We have, the given AP is :

-3, -14, -25....

First term is -3

Common difference is -14 - (-3)= -11

Let [tex]a_{96}[/tex] is the 96th term of the AP.

The nth term of the AP is given by :

[tex]a_n=a+(n-1)d[/tex]

Put all the values, such that,

[tex]a_{96}=(-3)+(96-1)\times (-11)\\\\a_{96}=-1048[/tex]

So, the 96th term of the given AP is (-1048).

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