find the sum of the natural nimbers of between 300 and 600 which are divisible by 6.
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If You are including 300 and 600 then 300=a(first tem) and 600 will be the last term...
We know that last term is 600 so...
a + (n-1)d =600 where d=6 and a=300 solving it we get that 600=300+(n-1)6
300=6n-6.........306=6n and n=51
Formula of Sum =n/2(a+l) where l=last term...
so SUM = 51/2(900)=51×400=20400...
We know that last term is 600 so...
a + (n-1)d =600 where d=6 and a=300 solving it we get that 600=300+(n-1)6
300=6n-6.........306=6n and n=51
Formula of Sum =n/2(a+l) where l=last term...
so SUM = 51/2(900)=51×400=20400...
Harjot1011:
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hi
aim : Find the sum of the natural nimbers of between 300 and 600 which are divisible by 6.
so the first integer divisible by 6 in 300 to 600
is 300 (300/6 = 50
and last integer is 600 (600/6) = 100
now lets calculate the sum
ans : 300 +306 +..............600
ans : 6 *( 50 +51+...............100)
ans : 6* ( 50 *{ 100 + 50)/2}
ans : 6 * ( 75*50)
ans :6*3750
ans : 22500
hope it helps u
:)
aim : Find the sum of the natural nimbers of between 300 and 600 which are divisible by 6.
so the first integer divisible by 6 in 300 to 600
is 300 (300/6 = 50
and last integer is 600 (600/6) = 100
now lets calculate the sum
ans : 300 +306 +..............600
ans : 6 *( 50 +51+...............100)
ans : 6* ( 50 *{ 100 + 50)/2}
ans : 6 * ( 75*50)
ans :6*3750
ans : 22500
hope it helps u
:)
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