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If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is ______. - Mathematics

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प्रश्न

If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is ______.

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उत्तर

If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is 0.

Explanation:

Given,

a = –5

And d = 2

∴ S6 = `6/2[2a + (6 - 1)d]`  ...`[∵  S_n = n/2[2a + (n - 1)d]]`

= 3[2(–5) + 5(2)]

= 3(–10 + 10)

= 0

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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 15 | पृष्ठ ४६

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