Math, asked by likerpc, 5 months ago


1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + ............ + 100 =


Answers

Answered by AffanAsad099
2

Here's your answer....

There's a trick behind this sum...

Which is

sum \: of \: n \: consecutive \: numbers \:  =  \frac{ {n}^{2}  + n}{2}

Therefore:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + ............ + 100 =

 \:  \:  \:  \:  \:  \:  \frac{ {100}^{2}  + 100}{2}   \\  \\ =  \frac{10000 + 100}{2}  \\   \\  =  \frac{10100}{2 }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  = 5050 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Thanku....

Answered by Jidnyasavartak05
0

Answer:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + ............ + 100 = 4284

Step-by-step explanation:

Hope this will help

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