An algebra problem by Ritam Podder

Algebra Level 1

1 + 2 + 3 + 4 + + 200000 = ? \large 1+2+3+4+\ldots+200000= \ ?

850004 20000100000 78963542 20000120007

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4 solutions

Ritam Podder
Aug 12, 2015

S=n(n+1)/2,use this formula to do the sum,where n is number of natural numbers. (200000*200001)/2 =20000100000

Mainak Physics
Jul 23, 2017

We can use the formula for the sum of no.s in the Arithmetic Progression.

S = n(n+1) / 2; hence, we can see here n=200000 (the last term or the no. of terms) therefore,
S = 200000*200000+1)/2 = 20000100000

A = 1 + 2 + 3 + + 200000 A=1+2+3+\ldots+200000

2 A = 200001 + 200001 + 200001 + + 200001 2A=200001+200001+200001+\ldots+200001 ( there are 200000 200000 " 200001 200001 ")

A = 200001 × 200000 2 = 20000100000 A=\frac{200001\times200000}{2} =\boxed{20000100000}

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