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find the series 2,5,13,36,104,??


Mounica Gudimetla 2nd Feb, 2022
Answer (1)
ADITYA KUMAR Student Expert 2nd Feb, 2022

Hi



Given series is 2,5,13,36,104,?

On close observation, we notice that

Number at a given position  = ( number at just previous position in series) x 3 - ( number's position in the series -1 )


So,

Number at 2nd position

= 2 x 3 - ( 2-1)

= 6 - 1

= 5


Number at 3rd position

= 5x 3 - ( 3-1)

= 15 - 2

= 13


Similarly,

Number at ? Mark

= Number at 6th position

= 104 x 3 - ( 6-1)

= 312 - 5

= 307


Hence, ? = 307





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