Question

21,30,55,104,225,?
solve this problem​

Answer 1

SOLUTION

TO DETERMINE

21,30,55,104,225, ?

EVALUATION

1st number = 21

$\sf{2nd \: number = 30 = 21 + {3}^{2} }$

$\sf{3rd \: number = 55 = 30 + {5}^{2} }$

$\sf{4th \: number = 104 = 55 + {7}^{2} }$

$\sf{5th \: number = 225 = 104+ {11}^{2} }$

Here 3, 5, 7 , 11 are successive prime number

Next prime number after 11 is 13

So the next number

= 6th number

$\sf{ =5th \: number + {13}^{2} }$

$\sf{ = 225 + 169}$

$= \sf{394}$

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