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Archy [21]
3 years ago
5

Find the common difference of the arithmetic sequence. -2, -17 3 - 1 3 3 - 1 1/8,...

Mathematics
1 answer:
Luba_88 [7]3 years ago
4 0

Answer:

The common difference is -9 1/8

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference

Let

a_1=-2

a_2=-\frac{17}{3}-\frac{13}{3}-1\frac{1}{8}

a_2=-\frac{30}{3}-\frac{1*8+1}{8}

a_2=-10-\frac{9}{8}

a_2=-\frac{89}{8}

a_2-a_1=-\frac{89}{8}-(-2)=-\frac{89}{8}+2=-\frac{73}{8}=-9\frac{1}{8}

therefore

The common difference is -9 1/8

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