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If ( 1 +1 + 1 +2 + + 1 +1012 )- ( 1 2 1 + 1 4 3 + 1 6 5 + . .+ 1 2024 2023 )= 1 2024 , then is equal to________

Correct answer

0

Step-by-step solution

aligned & ( 1 +1 + 1 +2 + + 1 +2012 ) & - ( 1 1 - 1 2 )+ ( 1 3 - 1 4 )+ + ( 1 2023 - 1 2024 ) = 1 2024 & ( 1 +1 + 1 +2 + + 1 +2012 ) & - ( 1 1 + 1 2 + 1 3 + 1 4 )+ + 1 2023 . & .- 1 2024 -2 ( 1 2 + 1 4 + + 1 2022 ) = 1 2024 & aligned aligned & ( 1 +1 + 1 +2 + + 1 +2012 ) & - ( 1 1 + 1 2 + + 1 2023 ) & + 1 2024 + ( 1 1 + 1 2 + + 1 1011 )= 1 2024 & 1 +1 + 1 +2 + + 1 +2012 & = 1 1012 + 1 1013 + + 1 2023 & =1011 aligned

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