Question

1, 3, 9, 23, 53, 115, 241, _____​

Answer 1

Answer:

the answer must be 495...

Answer 2

Given : 1, 3, 9, 23, 53, 115, 241, ____

To Find : Next term in sequence

Solution:

1

1 x 2 + 1  = 3

3 x 2 + 3  = 9

9 x 2 + 5  = 23

23 x 2 + 7  = 53

53 x 2 +  9  = 115

115 x 2 + 11 = 241

241 x 2  + 13  = 482 + 13 = 495

Tₙ₊₁ = Tₙ x 2  + (2n - 1)   where T₁ = 1

Next term is 495

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