960, 839, 758, 709, ?, 675

Solution

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

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

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

So from above sequence we can assume next number be $$5^2$$ i.e. 25

709-25 = 684 and to verify above assumption we will further subtract $$3^2$$ i.e. 9

684-9 = 675 which is equal to last number of the series therefore our above assumption is correct.

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