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Which of the following sequences are in arithmetic progression? 12,13,14,15,.... - Mathematics

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Question

Which of the following sequences are in arithmetic progression?

`1/2, 1/3 , 1/4 , 1/5, ....`

Sum

Solution

`1/2, 1/3 , 1/4 , 1/5, ....`

`d_1 = 1/3 - 1/2`

= `(2 - 3)/6`

= `-1/6`

`d_2 = 1/4 - 1/3`

= `(3 - 4)/12`

= `-1/12`

Since d1 ≠ d2, the given sequence is not in arithmetic progression.

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Arithmetic Progression - Finding Their General Term
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Chapter 10: Arithmetic Progression - Exercise 10 (A) [Page 137]

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Selina Mathematics [English] Class 10 ICSE
Chapter 10 Arithmetic Progression
Exercise 10 (A) | Q 1.4 | Page 137
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