Find a9 in the arithmetic sequence with a1 = -2.75 and d = 0.25

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.

Step-by-step explanation:

The given sequence has the first term, and d=0.25

The general formula for an arithmetic sequence is given by;

Since we want to find , it means n=9

We substitute the given values into the formula to obtain;

Hence, the 9th term is

step-by-step explanation:

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