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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: a, a2, a3, a4 … - 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: 

a, a2, a3, a4 …

बेरीज

उत्तर

a, a2, a3, a4 …

It can be observed that

a2 − a1 = a2 − a = a (a − 1)

a3 − a= a3 − a2 = a2 (a − 1)

a4 − a3 = a4 − a3 = a3 (a − 1)

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 १००]

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एनसीईआरटी Mathematics [English] Class 10
पाठ 5 Arithmetic Progressions
Exercise 5.1 | Q 4.11 | पृष्ठ १००

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