Math, asked by bhenderson4466, 1 year ago

Find the sum if all odd integers between 300 and 498

Answers

Answered by pinquancaro
34

We have to determine the sum of all odd integers from 300 to 498.

We start from 301, 303, ......, 497

Firstly, we will calculate the number of odd integers from 300 to 498.

number of odd integers = \frac{(497-301)}{2}= \frac{196}{2}= 98

Therefore, number of odd integers between 300 and 498 = 98+1 = 99

So, n =99

Since the given sequence is in Arithmetic progression.

Sum of Arithmetic progressions  = \frac{n}{2}(a+l), where 'a' is the first term and 'l' is the last term.

Sum of odd integers between 300 to 498 = \frac{99}{2}(301+497)

= 39501.

So, the sum of odd integers between 300 and 498 is 39501.

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