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Question

If the sum of first 10 natural numbers is S1 and that of first 10 whole numbers is S2 . Then S1−S2 is ___


A

20

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B

10

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C

30

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D

40

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Solution

The correct option is B

10


The set of natural numbers are (1,2,3,4,5...)
The set of whole numbers are (0,1,2,3...)

Sn=n2[2a+(n1)d]

where Sn is the sum of n terms of the AP,

'n' is the number of terms,

'a' is the first term,

'd' is the common difference.


S1=n2(2a+(n1)d)

S1=102(2(1)+(101)1)=5(2+9)=55

Similarly,

S2=102[2(0)+(101)1]
S2=5((2×0)+9)=45
S1S2=5545=10


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