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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: 12, 32, 52, 72 … - 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: 

12, 32, 52, 72 …

योग

उत्तर

12, 32, 52, 72 …

Or, 1, 9, 25, 49 …..

It can be observed that

a2 − a1 = 9 − 1 = 8

a3 − a= 25 − 9 = 16

a4 − a3 = 49 − 25 = 24

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

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

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Arithmetic Progressions - Exercise 5.1 [पृष्ठ १००]

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एनसीईआरटी Mathematics [English] Class 10
अध्याय 5 Arithmetic Progressions
Exercise 5.1 | Q 4.14 | पृष्ठ १००

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