Math, asked by kasauhasree, 8 months ago

the difference between sum of all even number and sum of all the odd number from 1 to 100​

Answers

Answered by yuvathilagan
0

Answer:

odd numbers last digit 1,3,5,7,9.

even numbers last digit 2,4,6,8,0.

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Answered by ambarkumar1
7

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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