हिंदी

The 10th common term between the series 3 + 7 + 11 + ... and 1 + 6 + 11 + ... is ______. - Mathematics

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प्रश्न

The 10th common term between the series 3 + 7 + 11 + ... and 1 + 6 + 11 + ... is ______.

विकल्प

  • 191

  • 193

  • 211

  • None of these

MCQ
रिक्त स्थान भरें

उत्तर

The 10th common term between the series 3 + 7 + 11 + ... and 1 + 6 + 11 + ... is 191.

Explanation:

The first common term is 11.

Now the next common term is obtained by adding L.C.M. of the common difference 4 and 5

i.e., 20.

Therefore, 10th common term = T10 of the AP

Whose a = 11 and d = 20

T10 = a + 9 d = 11 + 9(20) = 191

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Sequence and Series - Introduction of Sequence and Series
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अध्याय 9: Sequences and Series - Solved Examples [पृष्ठ १५९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 9 Sequences and Series
Solved Examples | Q 19 | पृष्ठ १५९
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