Question 18

Select the numberthat can replace the question mark (?) in the followingseries.
61, 63, 65, 77, 89, ? , 149, 205

Solution

61 + $$(1)^2$$ + 1 = 61 + 2 = 63
63 + $$(2)^2$$ - 2 = 63 + 2 = 65
65 + $$(3)^2$$ + 3 = 65 + 12 = 77
77 + $$(4)^2$$ - 4 = 77 + 12 = 89
89 + $$(5)^2$$ + 5 = 89 + 30 = 119

119 + $$(6)^2$$ - 6 = 119 + 30 = 149
149 + $$(7)^2$$ + 7 = 149 + 56 = 205
$$\therefore$$ The correct answer is option C.


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