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Is 0 a term of the A.P. 31,28, 25,…? Justify your answer. - Mathematics

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प्रश्न

Is 0 a term of the A.P. 31,28, 25,…? Justify your answer.

योग

उत्तर

A.P. 31, 28, 25,...

Here, a = 31, d = 28 – 31 = –3

Let 0 be the nth term, then

Tn = a + (n – 1)d

0 = 31 + (n – 1)(–3)

0 = 31 – 3n + 3

⇒ 3n = 34

n = `(34)/(3)`

= `11(1)/(3)`

Hence 0 is not any term of the A.P.

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Simple Applications of Arithmetic Progression
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Arithmetic and Geometric Progressions - Exercise 9.2

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एमएल अग्रवाल Understanding ICSE Mathematics [English] Class 10
अध्याय 9 Arithmetic and Geometric Progressions
Exercise 9.2 | Q 7.3
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