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Following are APs or not? If they form an A.P. find the common difference d and write three more terms: 0.2, 0.22, 0.222, 0.2222 …. - Mathematics

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प्रश्न

Following are APs or not? If they form an A.P. find the common difference d and write three more terms: 

0.2, 0.22, 0.222, 0.2222 ….

बेरीज

उत्तर

0.2, 0.22, 0.222, 0.2222 ….

It can be observed that

a2 − a1 = 0.22 − 0.2 = 0.02

a3 − a= 0.222 − 0.22 = 0.002

a4 − a3 = 0.2222 − 0.222 = 0.0002

i.e., ak+1 − ak is not the same every time.

Therefore, the given numbers are not in A.P.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Arithmetic Progressions - Exercise 5.1 [पृष्ठ ९९]

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एनसीईआरटी Mathematics [English] Class 10
पाठ 5 Arithmetic Progressions
Exercise 5.1 | Q 4.06 | पृष्ठ ९९

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