Instructions

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

Question 148

960, 839, 758, 709, ?, 675

Solution

Let the missing number be y

960 - 839 = 121 = $$(11)^2$$

839 - 758 = 81 = $$(9)^2$$

758 - 709 = 49 = $$(7)^2$$

here we can see the pattern of squares of decreasing odd numbers as the difference of two consecutive numbers . So,

709 - y = $$(5)^2$$ = 25

y = 684


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