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Find the sum 101 + 102 + 103 + ... + 200.

 May 24, 2020
 #1
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hi guest!

 

the formula for the sum is \(\dfrac{a_1+a_n}{2}\cdot n\)

where is the number of terms

 

 

there are 200-101=99. 99+1=100 terms.

 

so, the sum is \(\dfrac{101+200}{2}\cdot 100=\boxed{15050}\)

 

i hope this helped you!

:)

 May 24, 2020

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