Asked by Don
100(1+100)
Example : 1+2+3+…+100= -----------
2
Simplify: (x+1) + 2(x+1)+ …+1000(x+1)
Answers
                    Answered by
            Bosnian
            
    If you in google type:
Sum of numbers 1 to 100
By the way:
1 + 2 + 3 + 4 + . . . . + n = ( 1 + n )*( n / 2 )
1 + 2 + 3 +…100
n = 100
1 + 2 + 3 +…100 =( 1 + 100 ) * ( 100 / 2 ) = 101 * 50 = 5050
( x + 1 ) + 2 ( x + 1) + …+ 1000 ( x + 1 ) = ( x + 1 ) ( 1 + 2 +...1000 )
n = 1000
1 + 2 +....1000 = ( 1 + 1000 ) ( 1000 / 2 ) = 1001 * 500 = 500500
( x + 1 ) + 2 ( x + 1) + …+ 1000 ( x + 1 ) =
( x + 1 ) ( 1 + 2 +...1000 ) =
( x + 1 ) * 500500 = 505050 ( x + 1 )
    
Sum of numbers 1 to 100
By the way:
1 + 2 + 3 + 4 + . . . . + n = ( 1 + n )*( n / 2 )
1 + 2 + 3 +…100
n = 100
1 + 2 + 3 +…100 =( 1 + 100 ) * ( 100 / 2 ) = 101 * 50 = 5050
( x + 1 ) + 2 ( x + 1) + …+ 1000 ( x + 1 ) = ( x + 1 ) ( 1 + 2 +...1000 )
n = 1000
1 + 2 +....1000 = ( 1 + 1000 ) ( 1000 / 2 ) = 1001 * 500 = 500500
( x + 1 ) + 2 ( x + 1) + …+ 1000 ( x + 1 ) =
( x + 1 ) ( 1 + 2 +...1000 ) =
( x + 1 ) * 500500 = 505050 ( x + 1 )
                    Answered by
            Bosnian
            
    ( x + 1 ) * 500500 = 500500 ( x + 1 ) 
    
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