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Find the sum given below: 34 + 32 + 30 + ... + 10 - Mathematics

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प्रश्न

Find the sum given below:

34 + 32 + 30 + ... + 10

बेरीज

उत्तर

34 + 32 + 30 + ... + 10

For this A.P.,

a = 34

d = a2 − a1 

= 32 − 34

= −2

l = 10

Let 10 be the nth term of this A.P.

l = a + (n − 1) d

10 = 34 + (n − 1) (−2)

−24 = (n − 1) (−2)

12 = n − 1

n = 13

Sn = `n/2(a+1)`

= `13/2(34+10)`

= `(13xx44)/2`

= 13 × 22

= 286

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

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