Question

The difference between all even numbers and all odd numbers from 1 to 100 is _​

Answer 1

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It is clear that the numbers are in A.P, have common difference 2 and first term 16 and last term l=100l=a+(n-1)d100 = 16 + (n-1)2n= 43Sum = 43/2 *(16+100) = 58*43= 2494Similarly, Sum of odd = 15+17+19+……+99.Number of term will 43Sum = 43/2(15+99)=43*57Now the required answer = 43*58 -43*57 =43(58 -57) =43