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Aswani
1.
WELCOME
2.
NEW B.Ed COLLEGE
NELLIMOODU 2014 - 2015
3.
NAME: ASWANIREMYA .AM OPTION:
MATHEMATICS REGISTER NUMBER: 18014376006
4.
TOPIC: SUM OF
THE FIRST “n” ODD NUMBERS
5.
How do we
write this sequence of odd numbers in algebra?
6.
The nThe nthth term
of this sequence isterm of this sequence is 1+(n-1)x2 = 2n-11+(n-1)x2 = 2n-1
7.
We can write
it as Xn = 2n-1
8.
The sum of
the first n odd numbers = x _1+x_2+x_3+…….+ xn = (2x1-1)+(2x2-1)+(2x3-1) +…………+(2n -1) =2(1+2+3+……+n)-(1+1+….+1) n times =(2x1÷2 n(n+1))-n =n(n+1)-n
9.
Sum of the
first n odd numbers is n2
10.
THANKYOU
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