# 1, 4, 14, 46, 146, ………..

The next number in the series

1, 4, 14, 46, 146, ………..

(a) 440

(b) 454

(c) 520

(d) 554

**Answer: (b) 454**

**Solution:-**

1 x 3 + 1 = 3 + 1

= 4,

4 x 3 + 1 x 2 = 12 + 2

= 14,

14 x 3 + 2 x 2 = 42 + 4

= 46,

46 x 3 + 4 x 2 = 138 + 8

= 146 ,

Same as,

146 x 3 + 8 x 2 = 438 + 16

= 454

Then, the next number will be 454.

Hence, the correct answer is option (b) 454.