Question

find the sum off odd integers from 5 to 100​

Answer 1

Answer:

The very first thing , find the sum of all the consecutive integers,here you have 100 terms, so by using the sum of nterms of a series = n(n+1)/2. So here( 100 ×101 )/2 = 5050, then if you know exactly how many numbers between 1 to 100 are even numbers , find the even numbers and count like 2, 4, 6, 8, …….100 , here you will have exactly 50 numbers so by using the sum of n even numbers is n(n+1) so

50 (50+1)= 2550.then use the formula

Sum of odd consecutive integers from 1 to 100 = (Sum of all consecutive integers from 1 to 100) - (Sum of even consecutive integers from 1 to 100). Sum of odds = (100 x 101/2) - [ (50 x 51)] = 5050 - 2550 = 2500.

Answer 2

Answer:

2500

Step-by-step explanation:

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