Question

find the next number of the following series 5,6,5,13,9,36,27,91 ? (a) 107
(b) 155
(c) 75
(d) 123​

Answer 1

c) 75.............................

Answer 2

Given :  5,6,5,13,9,36,27,91​  

To Find : Next number in Sequence

(a) 107

(b) 155

(c) 75

(d) 123​

Solution:

5

5  + 1³   = 6

6  - 1²   =  5

5  + 2³ =  13

13 - 2² = 9

9 + 3³   = 36

36 - 3² = 27

27 + 4³ = 91

91 - 4²   = 75

Next number is 75

option c is correct.

Sequence is :

T₂ₙ  = T₂ₙ₋₁  + n³       T₁ = 5

T₂ₙ₊₁  = T₂ₙ  - n²

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