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In an AP Given a12 = 37, d = 3, find a and S12. - Mathematics

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प्रश्न

 In an AP Given a12 = 37, d = 3, find a and S12.

योग
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उत्तर

Given that, a12 = 37, d = 3

As an = a + (n − 1)d,

a12 = a + (12 − 1)3 

37 = a + 11d

37 = a + 11 × 3

37 = a + 33

a = 37 - 33

a = 4

`S_n = n/2 [a+a_n]`

`S_n = 12/2 [4+37]` 

`S_n = 6(41)`

`S_n = 246`

Thus, a = 4 and S12 = 246

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अध्याय 5: Arithmetic Progressions - Exercise 5.3 [पृष्ठ ११२]

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एनसीईआरटी Mathematics [English] Class 10
अध्याय 5 Arithmetic Progressions
Exercise 5.3 | Q 3.03 | पृष्ठ ११२

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