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Arithmetic Progressions
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02/06/2021 10:39 am
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Find the sum of the odd numbers between 0 and 50.
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02/06/2021 10:40 am
The odd numbers between 0 and 50 are 1, 3, 5, 7, 9 … 49.
First term, a = 1
Common difference, d = 2
Last term, l = 49
l = a+(n−1) d
49 = 1+(n−1)2
48 = 2(n − 1)
n − 1 = 24
n = 25 = Number of terms
Sn = n/2(a +l)
S25 = 25/2 (1+49)
= 25(50)/2
=(25)(25)
= 625