Find the sum of even numbers between 0 to 50
solution:
2,4,6,8.........48
a=2
d=2
an=48
n=?
sn=?
an=a+(n-1)d
48=2+(n-1)2
48=2+2n-2
n=48/2
n=24
sn=n/2(2a+(n-1)d)
sn=24/2(2.2+(24-1)2)
=12(4+46)
=12(50)
sn=600
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Step-by-step explanation:
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Given; 2, 4, 6 8 are the given numbers
To Find; Sum of even numbers between 0 to 50
Solution; even numbers 1, 2, 4, 6 and do on
The last number is 48
a1= 2, a 2= 4,d =a2 - a1 = 4-2 = 2,n=?
the sum of even numbers can be calculated using ap
an =a + (n-1) d
48 = 2+ (n-1)2
46 = (n-1)2
23 = n-1
24 = n
Sum of even terms
Sn = n (2a +(n-1)d)/2
12(2*2+23*2)
12(4+46)
12(50)
600
Hence the sum of even numbers is 600
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