5,6,5,13,9,36,27,91
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Given : 5,6,5,13,9,36,27,91
To Find : Next number in Sequence
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
Sequence is :
T₂ₙ = T₂ₙ₋₁ + n³ T₁ = 5
T₂ₙ₊₁ = T₂ₙ - n²
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