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 $5$.

$60$	$121$	$131$	$264$	$284$	$571$	$601$
$120$	$(A)$	$(B)$	$(C)$	$(D)$	$(E)$

$18$	$22$	$38$	$74$
$121$	$(a)$	$(b)$	$(c)$

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

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