Instructions

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

Question 5

2, 3, 18, 115, 854, ?

Solution

The pattern here followed is :

2 $$\times 1 + 1^2$$ = 3

3 $$\times 3 + 3^2$$ = 18

18 $$\times 5 + 5^2$$ = 115

115 $$\times 7 + 7^2$$ = 854

854 $$\times 9 + 9^2$$ = 7767

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