Find \(1_6 + 2_6 + 3_6 + \cdots + 45_6\). Express your answer in base 6.
1 in base 6 = 1
45 in base 6 = (4x6)+5 = 29
Sum of arithmetic sequence = n (a1+an)/2 = 29 (30/2) = 435
435 in base 6 = 20036
+586 
+37153 
