Question

complete the series. 36,12,48,9.6,...?​

Answer 1

Given : 36,12,48,9.6,...?​

To Find : Next number in series

Solution:

36

36  ÷  3  = 12

12  ×  4  =  48

48 ÷  5  = 9.6

9.6 × 6 =  57.6

Next number in series = 57.6

Tₙ  =  Tₙ₋₁    ÷  (n + 1)   if  n is even    , T₁ = 36

Tₙ  =  Tₙ₋₁    ×   (n + 1)   if  n is odd

or

T₂ₙ  = T₂ₙ₋₁  ÷ (2n+1)     T₁ = 36

T₂ₙ₊₁  = T₂ₙ ×  (2n+2)

57.6 is next number in series

Another way :

Tₙ  =  Tₙ₋₁  ×  $(n+1)^{(-1)^{n+1}}$    T₁ = 36

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