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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 = □ S1000 = □2(1+1000) = 500 × 1001 = □ Therefore, - Algebra

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Sum

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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Solution

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

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

Sn = `"n"/2 ("t"_1 + "t"_"n")`

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

= 500 × 1001

= 500500

Therefore, Sum of the first 1000 positive integer is 500500.

Concept: Sum of First n Terms of an AP
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