let x represent the sum of the first 25 positive odd integers. let $y$ represent the sum of the next 25 positive odd integers. what is the value of y-x?

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Tutorconsortium363 Tutorconsortium363 · Answer 1 · 2022-12-06T07:59:53+01:00

By using the concept of arithmetic series, it can be calculated that

y - x = 1250

What is arithmetic series?

Arithmetic series are those series whose difference between two consecutive terms are same.

The odd integers forms an arithmetic series

For the sum of first 25 odd integer

First odd integer = 1

25th odd integer = 49

Sum of first 25 odd integers = [tex]\frac{25}{2}(1 + 49)[/tex] = 625

x = 625

For the sum of first 50 odd integers

First odd integer = 1

50th odd integer = 99

Sum of first 50 odd integers = [tex]\frac{50}{2}(1 + 99)[/tex] = 2500

Sum of next 25 odd integers = 2500 - 625 = 1875

y = 1875

y - x = 1875 - 625 = 1250

To learn more about arithmetic series, refer to the link-

https://brainly.com/question/6561461

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