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Which term of the AP: 21, 42, 63, 84,... is 210? - Mathematics

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प्रश्न

Which term of the AP: 21, 42, 63, 84,... is 210?

विकल्प

  • 9th

  • 10th

  • 11th

  • 12th

MCQ

उत्तर

10th 

Explanation:

Let nth term of the given AP be 210

According to question,

First term, a = 21

Common difference, d = 42 – 21 = 21 and an = 210

We know that the nth term of an AP is

an = a + (n – 1)d

Where,

a = first term

an is nth term

d is the common difference

210 = 21 + (n – 1)21

189 = (n – 1)21

n – 1 = 9

n = 10

So, 10th term of an AP is 210.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Arithematic Progressions - Exercise 5.1 [पृष्ठ ४६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
अध्याय 5 Arithematic Progressions
Exercise 5.1 | Q 8 | पृष्ठ ४६
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