Instructions

What should come in place of the question mark (?) in the following number series?

Question 157

900, 899, 891, 864, 800, ?

Solution

Let the missing number be x

900-899 = (1)^2

899-891 = 8 = (2)^3

891-864 = 27 = (3)^3

864-800 = 64 = (4)^3

as we can see the pattern between differences of consecutive numbers is of type (n)^3

so x-800 = (5)^3,this implies that x= 675


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