Question

1 1 3 19 169 ?
a)1857
b)1858
c)1859
d)1861​

Answer 1

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

To Find : 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

Learn More:

What is the next number sequence for 1,4,11,29,76,199 - Brainly.in

brainly.in/question/12352589

111, 129, 183, 345, 831, ?​ - Brainly.in

brainly.in/question/27111094

Answer 2

1. 1 * 3 - 2 = 1
2. 1 * 3 - 2 = 11 * 5 - 2 = 3
3. 1 * 3 - 2 = 11 * 5 - 2 = 33 * 7 - 2 = 19
4. 1 * 3 - 2 = 11 * 5 - 2 = 33 * 7 - 2 = 1919 * 9 - 2 = 169
5. 1 * 3 - 2 = 11 * 5 - 2 = 33 * 7 - 2 = 1919 * 9 - 2 = 169169 * 11 - 2 = 1857