Can I use a shortcut?

Algebra Level 1

1 + 4 + 9 + … + 100 = ? \sqrt { 1 }+ \sqrt { 4 }+ \sqrt { 9 } +\ldots + \sqrt { 100 } = \ ?

The numbers inside the radicals are all perfect squares.

65 46 63 55 47

Ryan Koh by Ryan Koh , 19, Singapore

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4 solutions

its actually 1+2+3...+10

a shortcut to find the sum of no.s from 1

n(n+1)/2

=(10 X 11)/2

=55

4 Helpful 0 Interesting 0 Brilliant 0 Confused
Balaji Rajagopal
Jun 17, 2015

1+2+3+4+5+6+7+8+9+10=55

3 Helpful 0 Interesting 0 Brilliant 0 Confused
Sai Ram
Jun 29, 2015

its actually 1+2+3...+10

a shortcut to find the sum of no.s from 1

n(n+1)/2

=(10 X 11)/2

=55

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ashish Menon
May 31, 2016

The answer is 10 × 11 2 = 55 \dfrac{10 × 11}{2} = \color{#69047E}{\boxed{55}} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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