Home
Class 10
MATHS
Find the sum of all odd numbers between ...

Find the sum of all odd numbers between 100 and 200.

Text Solution

Verified by Experts

The series formed by odd numbers lying between 100 and 200 is `101+103+105+.....+199`
Here, a=101,
`d=103-101=105-103=2`
Let `a_(n)=199`
`rArr 101+(n-1)2=199`
`rArr (n-1)2=98 rArr n-1=49` ltbtgt `rArr n=50`
Now, `S_(50)=(50)/(2)(101+199)=7500`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Problem From NCERT/exemplar|20 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 5a|5 Videos

  • AREA RELATED TO CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Question|5 Videos

  • CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|2 Videos

Similar Questions

Explore conceptually related problems

Find the sum of all the numbers between 100 and 200 which are divisible by 7.

Find the sum of all odd numbers between 1 and 100 which are divisible by 3

Find the sum of all odd numbers between (i) 0 and 50 (ii) 100 and 200.

Find the sum of the odd numbers between 0 and 50.

Find the sum of all numbers between 200 and 400 which are divisible by 7.

Find the sum of all natural numbers between 100 and 1000 which are multiples of 5.

Find the sum of all natural numbers between 100 and 1000 which are multiple of 5.

Find the sum of all odd integers between 2 and 100 divisible by 3

Find the sum of all odd integers between 2 and 100 divisible by 3

Find the sum of all natural numbers between 1 and 100, which are divisible by 3.

Home
Profile