Question 31
Select the number that can replace the question mark (?) in the following series.
1, 11, 35, 79, ?, 251
Solution
Given series 1, 11, 35, 79, ?, 251
the given series follow the pattern
1 = $$ (1)^3 + (1)^2 -1$$
11= $$ (2)^3+ (2)^2 -1$$
35 = $$ (3)^3+ (3)^2 -1$$
79 =$$ (4)^3+ (4)^2 -1$$
next ? = $$ (5)^3+ (5)^2 -1$$
? = 125 +25 -1
? = 150-1
? = 149 Ans
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