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Find the sum of all natural numbers lying between 100 to 200 which are divisible by 4.

Required AP = 104, 108, 112, ......200.
Here a = 104, d = 4, an = 200.
an = a + (n - 1) d
200 = 104 + (n - 1) 4
200 = 104 + 4n - 4
4n = 100
n = 25

Sn = n/2 (a1 + an)
     = 25/2(104 + 200)
     = 25/2 x 304
     = 25 x 152
     = 3800



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