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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the sum of first 1000 positive integers. Activity :- Let 1 + 2 + 3 + ........ + 1000 Using formula for the sum of first n terms of an A.P., S_n = □ S_1000 = □/2 (1 + 1000) = 500 × 1001 = □

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प्रश्न

Find the sum of first 1000 positive integers.

Activity :- Let 1 + 2 + 3 + ........ + 1000

Using formula for the sum of first n terms of an A.P.,

Sn = `square`

S1000 = `square/2 (1 + 1000)`

= 500 × 1001

= `square`

Therefore, Sum of the first 1000 positive integer is `square`

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उत्तर

Let 1 + 2 + 3 + ........ + 1000

Using formula for the sum of first n terms of an A.P.,

Sn = \[\boxed{\frac{n}{2} (t_1 + t_n)}\]

S1000 = \[\frac{\boxed{1000}}{2} (1 + 1000)\]

= 500 × 1001

= \[\boxed{500500}\]

Therefore, Sum of the first 1000 positive integer is \[\boxed{500500}\].

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पाठ 3: Arithmetic Progression - Q.2 (A)

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