Tell whether the sequence is arithmetic. If it is, identify the common difference.
1/2, 1/3, 1/4

A. not Arithmetic
B. Arithmetic, common difference is 1/6
C. Arithmetic, common difference is 2/3
D. Arithmetic, common difference is 1

Respuesta :

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 [tex]\frac{1}{2},{1}{3},{1}{4}[/tex]  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.

[tex]d=a_2-a_1[/tex]

we can see the difference between [tex]\frac{1}{3}[/tex] and [tex]\frac{1}{2}[/tex] is [tex]\frac{-1}{6}[/tex]

Whereas, the difference between [tex]\frac{1}{4}[/tex]  and [tex]\frac{1}{3}[/tex] is [tex]\frac{-1}{12}[/tex].