what is the sum of all natural numbers between 70 and 410 which are divisible by 5
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Answer:
Ap : 75 , 80 , 85 ,90...............405
then- an = a + (n-1) d
405=75+(n-1) 5
405= 75+5n-5
405= 70+5n
405-70 = 5n
335 =5n
n= 335 /5
n = 67 .
then sum is
sn= n/2(a+(n-1)d)
sn = 67 /2(75+(67-1)5)
sn = 67/2 (75+ 66×5)
sn = 67/2( 75+ 330)
sn= 67/2 × 405
sn = 27135/2.
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