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Find the sum of integers from …

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Find the sum of integers from 1to2001
  • 4 answers

Drake Verma 5 years, 8 months ago

Or u can use the second formula for calculating sum which is- Sn=n/2[a+l] So,from above u can see yogita has already finded the value of n which is 1001 and here u have l=2001 so, Sn=1001/2[1+2001] =1001*1001 =1002001. #Ans

Mimansa Gupta 5 years, 8 months ago

2003001

Sanjay Kumar 5 years, 8 months ago

In this question AP has been formed, which is 1,2,3,4,5,.....,2001, in which a = 1, d = a2-a1 = 2-1 = 1, l = 2001, n = 2001 S2001 = n/2(a+l) =2001/2(1+2001) =2003001, Answer Hence, the sum of integers from 1 to 2001 is 2003001.

Yogita Ingle 5 years, 9 months ago

The odd integers from 1 to 2001 are 1, 3, 5, …1999, 2001.
This sequence forms an A.P.
Here, first term, a = 1
Common difference, d = 2
Here,<nobr>
a+(n−1)d=2001
=>1+(n−1)(2)=2001
=>2n−2=2000
=>n=1001
Sn= n2[2a+(n−1)d]
∴Sn= 10012[2×1+(1001−1)×2]
= 10012 [2+1000 × 2]
=10012×2002
=1001×1001
=1002001</nobr>
Thus, the sum of odd numbers from 1 to 2001 is 1002001.

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