Respuesta :

Answer:

-134

Step-by-step explanation:

a1=16

d=14-16=-2

an=a1+(n-1)d

[tex]a_{76}=16+(76-1)(-2)\\=16-150\\=-134[/tex]

The 76th of the arithmetic sequence is -134

How to determine the 76th term?

The sequence is given as:

16, 14, 12,

The above sequence is an arithmetic sequence with the following parameters:

  • First term, a = 16
  • Common difference, d = -2

The 76th term is calculated using:

T76 = a + 75d

So, we have:

T76 = 16 - 75 * 2

Evaluate

T76 = -134

Hence, the 76th of the arithmetic sequence is -134

Read more about arithmetic sequence at:

https://brainly.com/question/7882626

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