Respuesta :

altavistard

Answer:

The ninth term is -0.75.

Step-by-step explanation:

Let's write the actual formula for this arith. seq.

It will have the general form a(n) = a(1) + (n-1)d, where a(1) is the first term, n is the term counter (1, 2, 3, .... ) and d is the common difference.

Here, a(n) = -2.75 + (n - 1)(0.25)

So the ninth term of this sequence is

a(9) = -2.75 + (9 - 1)(0.25

      = -2.75 + 8(0.25)

      = -2.75 + 2

       = -0.75

The ninth term is -0.75.

kudzordzifrancis

Answer:

[tex]a_9=-0.75[/tex]

Step-by-step explanation:

The given sequence has the first term, [tex]a_1=-2.75[/tex] and d=0.25

The general formula for an arithmetic sequence is given by;

[tex]a_n=a_1+d(n-1)[/tex]

Since we want to find [tex]a_9[/tex], it means n=9

We substitute the given values into the formula to obtain;

[tex]a_9=-2.75+0.25(9-1)[/tex]

[tex]a_9=-2.75+0.25(8)=-0.75[/tex]

Hence, the 9th term is

[tex]a_9=-0.75[/tex]

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