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r-ruslan [8.4K]
3 years ago
11

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

Mathematics
2 answers:
tekilochka [14]3 years ago
8 0

Answer:

Common Difference(d) is    

               d=\frac{1}{6}

Step-by-step explanation:

Given sequence is :

                 \frac{1}{6}, \frac{1}{3} ,\frac{1}{2} ,\frac{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.

       

                           \frac{1}{3} -\frac{1}{6}= \frac{1}{2}- \frac{1}{3}=\frac{2}{3} - \frac{1}{2}=d\\

                              d=\frac{1}{3}-\frac{1}{6}=\frac{(2)(1)-(1)(1)}{6}=\frac{1}{6}

                                   d=\frac{1}{6}

Common Difference(d) is    

               d=\frac{1}{6}

tensa zangetsu [6.8K]3 years ago
6 0

Answer:

The common difference is 1/6.

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