Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the sum of odd integers from 1 to 2001.

1.  Find the sum of odd integers from 1 to 2001.

Answers (1)

best_answer

Odd integers from 1 to 2001 are 1,3,5,7...........2001.

This sequence is an A.P.

Here , first term =a =1

common difference = 2.

We know , a_n = a+(n-1)d

              2001 = 1+(n-1)2

      \Rightarrow \, \, 2000 = (n-1)2

    \Rightarrow \, \, 1000 = (n-1)

 \Rightarrow \, \, n=1000+1=1001

 

S_n = \frac{n}{2}[2a+(n-1)d]

       = \frac{1001}{2}[2(1)+(1001-1)2]

     = \frac{1001}{2}[2002]

    = 1001\times 1001

   = 1002001

The , sum of odd integers from 1 to 2001 is 1002001.

   

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Board Exams 2025: Counselling for students, parents from February 1
anam-khan

CBSE asks schools to include APAAR IDs in school ID after NTA says ‘not mandatory’ for NEET
anam-khan

CBSE Board Exams 2025: What the ethics code bans from exam centres

Latest Question