What is the unit digit of the sum of the firs | vedclass

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(C) The first $111$ whole numbers are $0, 1, 2, \dots, 110$.This is an arithmetic progression where the first term $a = 0$,the last term $l = 110$,and

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(C) The first $111$ whole numbers are $0, 1, 2, \dots, 110$.This is an arithmetic progression where the first term $a = 0$,the last term $l = 110$,and the number of terms $n = 111$.The sum of an arithmetic progression is given by $S_n = \frac{n}{2}(a + l)$.Substituting the values: $S_{111} = \frac{111}{2}(0 + 110)$.$S_{111} = \frac{111}{2} 	imes 110$.$S_{111} = 111 	imes 55$.$S_{111} = 6105$.The unit digit of $6105$ is $5$.

What is the unit digit of the sum of the first $111$ whole numbers?

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