the difference between sum of all even number and sum of all the odd number from 1 to 100
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Answer:
odd numbers last digit 1,3,5,7,9.
even numbers last digit 2,4,6,8,0.
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Sum. of all even numbers from 1 – 100
2,4,6,10........ 100
It is an AP
a = 2
d = 2
an = 100
no of terms, n = 50
Sn = n/2 [ a + an ]
Sn = 50/2 [ 2 + 100 ]
Sn = 25 × 102
Sn = 2550
Sum. of all odd numbers from 1 – 100
1,3,5,7,9,11....... 99
It is an AP
a = 1
d = 2
an = 99
no of terms, n = 50
Sn = n/2 [ a + an ]
Sn = 50/2 [ 1 + 99 ]
Sn = 25 × 100
Sn = 2500
Difference of their sum :
Even – Odd
= 2550 – 2500
= 50
Hope the solution is clear to you!!
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