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What is the common difference of an AP in which a18 – a14 = 32? - Mathematics

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प्रश्न

What is the common difference of an AP in which a18 – a14 = 32?

पर्याय

  • 8

  • – 8

  • – 4

  • 4

MCQ

उत्तर

8

Explanation:

Given, a18 – a14 = 32

⇒ a + (18 – 1)d – [a + (14 – 1)d] = 32   ...[∵ an = a + (n – 1)d]

⇒ a + 17d – a – 13d = 32

⇒ 4d = 32

∴ d = 8

Which is the required common difference of an AP.

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पाठ 5: Arithematic Progressions - Exercise 5.1 [पृष्ठ ४६]

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