Question

What is the next number in the below given series?
5, 18, 67, 260, (?)​

Answer 1

Given : Series 5, 18, 67, 260, (?)​

To find : Next number in series

Solution:

Series is

5, 18, 67, 260, (?)​

5

5*4   - 2  =  20 - 2  = 18

18*4 - 5   =  72 - 5  = 67

67 *4  - 8 = 268 - 8  = 260

260 * 4 - 11 = 1040 - 11  = 1029

Logic is

Tₙ₊₁ = Tₙ * 4   - (3n - 1)     T₁ = 5

1029 will be next number in series

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