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Tell whether the sequence is arithmetic. If it is, identify the common difference.

1/2, 1/3, 1/4

Anot Arithmetic
BArithmetic, common difference is 1/6
CArithmetic, common difference is 2/3
DArithmetic, common difference is 1

Verified Answer :

the sequence is not arithmetic because 1/3 is not equal with 1/2+1/4(=3/4)
the answer is A

Answer:

Option A is correct not arithmetic

Explanation:

We have given terms \(\frac{1}{2},{1}{3},{1}{4}\)  these terms are not an arithmetic progression because

Arithmetic progression is the sequence of terms in which difference between successive and proceeding terms is same.

\(d=a_2-a_1\)

we can see the difference between \(\frac{1}{3}\) and \(\frac{1}{2}\) is \(\frac{-1}{6}\)

Whereas, the difference between \(\frac{1}{4}\)  and \(\frac{1}{3}\) is \(\frac{-1}{12}\).