Question 69

What is the average of the first 15 even numbers starting from 2?

Solution

The first 15 even numbers be = 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30

Average= (Sum of all values)/(number of values)

Average = (2+4+ 6+ 8 +10 +12 +14 +16+ 18+ 20+ 22+ 24 +26 +28 +30)/15 = 16

                                OR

Sum of first n natural numbers= (n(n+1))/2

=2[1+2+.......15]

=[(15(15+1))/2]$$\times\ $$2 = (15$$\times\ $$16)

Average = (Sum of natural numbers) / (number of values) = (15$$\times$$16)/15 = 16 


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