Answered

IDNStudy.com, ang iyong destinasyon para sa mabilis at eksaktong mga sagot. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.

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.