find the sum of odd integers from 1 to 999
Answers
Answered by
3
Step-by-step explanation:
Sum of all integers from 1–999 is 1000 x 999/2=499500. Subtract the sum of all the even numbers. This is obviously the equivalent of double the sum of all the integers from 1–499,which is 2 x 500 x 499/2= 249500. Same result as the other answers,250000,but I think it's a simpler method to calculate it
Hope it helps:-):-):-)
Answered by
0
Step-by-step explanation:
for odd integer
a = first term = 1
d is common difference is 2
Sn=n/2[2a+(n-1)d]
Tn=a+(n-1)d
999=1+(n-1)2
998/2=n-1
499+1=n
500=n
by putting n =500 in Sn
we get
S500=250[2+499×2]
=250[2+998]
=250×1000
=250000
thank you
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