find the sum of all even natural numbers less than 75
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we have a formula that is n(n+1)/2
here=75
75(76)/2
75(38)
2850
here=75
75(76)/2
75(38)
2850
jyothender:
wron
Answered by
14
Hii There!!!
According to the question,
A.P becomes :- 2 , 4 , 6 , .... , 74
Here, a = 2 , d = 4 - 2 = 2 , an (or) l = 74 , n = ? , Sn = ?
Since, an = a + ( n - 1 ) d
=> 74 = 2 + ( n - 1 ) 2
=> 74 - 2 = ( n - 1 ) 2
=> 72 / 2 = n - 1
=> 36 = n - 1
=> n = 37
Now, We know that
Sn = n/2 [ a + l ]
=> Sn = 37 / 2 [ 2 + 74 ]
= 37 / 2 [ 76 ]
= 1406
Hence, Sn = 1406
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Hope it helps☺️
According to the question,
A.P becomes :- 2 , 4 , 6 , .... , 74
Here, a = 2 , d = 4 - 2 = 2 , an (or) l = 74 , n = ? , Sn = ?
Since, an = a + ( n - 1 ) d
=> 74 = 2 + ( n - 1 ) 2
=> 74 - 2 = ( n - 1 ) 2
=> 72 / 2 = n - 1
=> 36 = n - 1
=> n = 37
Now, We know that
Sn = n/2 [ a + l ]
=> Sn = 37 / 2 [ 2 + 74 ]
= 37 / 2 [ 76 ]
= 1406
Hence, Sn = 1406
__________________________
◆∆◆¢'$◆∆◆
Hope it helps☺️
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