Question

which number replaces the question mark(?) in the series given below
1,1,3,19,169,?
a) 1857
b) 1858
c) 1859
d) 1861
please explain with solution.
​

Answer 1

Given : 1,1,3,19,169,?

 

To Find : which number replaces the question mark(?) in the series

a) 1857

b) 1858

c)1859

d) 1861​

Solution:

1

1 x 3  - 2 =   1

1 x 5  -  2  =  3

3 x 7  -  2   = 19

19 x 9  - 2 = 169

169 x 11 -2 = 1857

Next term in Sequence is 1857

Logic is

Tₙ  = Tₙ₋₁  ( 2n - 1)  - 2     T₁ = 1

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