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Find the common difference of the sequence shown 1/6,1/3,1/2,2/3,......

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2 votes

Answer:

The common difference is 1/6.

User Adrien Schuler
by
8.1k points
6 votes

Answer:

Common Difference(d) is


d=(1)/(6)

Explanation:

Given sequence is :


(1)/(6), (1)/(3) ,(1)/(2) ,(2)/(3) .........

If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.

Considering a sequence:


a_1,a_2,a_3,a_4..........\\


a_2-a_1=a_3-a_2=a_4-a_3=a_n-a_n_-_1=d

where 'd' is the common difference of the A.P.

Similarly, finding the common difference of the given sequence.


(1)/(3) -(1)/(6)= (1)/(2)- (1)/(3)=(2)/(3) - (1)/(2)=d\\


d=(1)/(3)-(1)/(6)=((2)(1)-(1)(1))/(6)=(1)/(6)


d=(1)/(6)

Common Difference(d) is


d=(1)/(6)

User Kahlo
by
9.1k points

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