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Karolina [17]
3 years ago
9

Find the common difference of the arithmetic sequence shown.

Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer:

Option B is correct.

The common difference of the arithmetic sequence is, \frac{1}{8}

Step-by-step explanation:

Common difference(d) states that take any pair of successive numbers, and subtract the first from the second.

Given the arithmetic sequence:

1/4 ,  3/8,   1/2...

⇒(a_1) = 1/4, a_2 = \frac{3}{8} ,  a_3 = \frac{1}{2} and so on..

By definition of common difference

a_2 -a_1 = \frac{3}{8}-\frac{1}{4} = \frac{3-2}{8} = \frac{1}{8}

a_3 -a_2= \frac{1}{2}-\frac{3}{8} = \frac{4-3}{8} = \frac{1}{8}  and so on..

⇒d = a_2-a_1 = a_3-a_2=.....= \frac{1}{8}

Therefore, the common difference of the arithmetic sequence is, \frac{1}{8}

Natalija [7]3 years ago
6 0

Answer:

1/8

Step-by-step explanation:

To find the common difference, subtract the first term (1/4) from the second term (3/8); it's 1/8.  Notice that if you subtract 3/8 from 1/2 as a check, you obtain 1/8 again.  

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