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Is the following sequences are A.P.? If is A.P. find the common difference. -15,-15,-15,... - Algebra

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Question

Is the following sequences are A.P.? If is A.P. find the common difference.

`-1/5, -1/5, -1/5,...`
Sum

Solution

`-1/5, -1/5, -1/5,...`

Here, `t_1=-1/5,t_2=-1/5,t_3-1/5`

t2 - t1 = `-1/5-(-1/5)=-1/5+1/5=0`

t3 - t2 = `-1/5-(-1/5)=-1/5+1/5=0`

The difference between two consecutive terms is constant.

Hence, the given sequence is an A.P. and the common difference (d) is 0.

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Chapter 3: Arithmetic Progression - Practice Set 3.1 [Page 61]

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Balbharati Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
Chapter 3 Arithmetic Progression
Practice Set 3.1 | Q 1.6 | Page 61

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