find the sum of all odd integers between 2 and 100 divisible by 3 ?
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The odd integers between 2 and 100 which are divisible by 3 are 3, 9, 15, 21, ..., 99. Here, a = 3 a=3 a=3 and d = 6 d=6 d=6
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Step-by-step explanation:
first number = 3 ,common difference = 3
last number = 99
in ap Sn=n\2(a+ l)
TN =a+( n-1)d
99=3+(n-1)3
96= 3n-3
93= 3n
n=31
now,Sn=31/2(3+99)
=31×102/2
=51×31
=. 1581
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