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The sum of 50 whole numbers 51,52...,100 is ____ greater than the sum of fifty whole numbers 1,2,...,50.


Sagot :

Answer:


Step-by-step explanation:

Find the sum of the numbers between 51 and 100 (inclusive of 51 and 100):

There are 50 terms

Sum = n/2 (a1 + an)

Sum = 50/2 (51 + 100) = 3775


Find the sum of numbers between 1 and 50 (inclusive of 1 and 50)

There are 50 terms

Sum = n/2 (a1 + an)

Sum = 50/2 (1 + 50) = 1275


Find the difference:

Difference = 3775 - 1275 = 2500


Answer: The sum of 50 whole numbers 51,52...,100 is  2500 greater than the sum of fifty whole numbers 1,2,...,50.