Question

What number come next in series 7,9,15,57,?
Give answer with explanation

Answer 1

Answer:

69

Step-by-step explanation:

Answer 2

Given :  7,9,15,57,?

To find :  next missing series​

Solution:

7, 9, 15, 57, ?

7  + (1 !)²  + 1 !  = 7  +  1 + 1  = 9

9  + (2 !)²  + 2 !  = 9  +  4 + 2  = 15

15  + (3 !)²  + 3 !  =15  +  36 + 6  =  57

57 +   (4 !)²  + 4 !  =57  +  576 + 24  =  657

Hence next number is 657

Tₙ₊₁ = Tₙ + (n!)² + (n!)      or Tₙ₊₁ = Tₙ +  (n!)(n! + 1)  

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