kaykay21097 kaykay21097

22-11-2020
Mathematics

contestada

Find the 96th term of the arithmetic sequence 1, -12, -25, ...

Respuesta :

unicorn3125 unicorn3125

24-11-2020

Answer:

a₉₆ = - 1234

Step-by-step explanation:

-12 - 1 = -13 and -25 - (-12) = -13 ⇒ d = -13

[tex]a_n=a_1+d(n-1)\\\\a_1=1\\d=-13\\n=96\\\\a_{96}=1+(-13)(96-1)\\\\a_{96}=1-13\cdot95\\\\a_{96}=1-1235\\\\a_{96}=-1234[/tex]

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