What is the next number? 1, 1, 2, 4, 3, 9, 4

Solution:

Given, sequence 1, 1, 2, 4, 3, 9, 4, ……

Here if you consider the first, third , fifth , seventh terms they are,

1, 2, 3, 4

And if you consider the second , fourth, sixth terms they are,

1, 2² , 3²,

Now the required term is eighth term hence it must be 4² = 16

Example: What is the next number? 4, 3, 5, 14, __

Given sequence is 4, 3, 5, 14, __

The pattern followed is

(4 × 1) - 1 = 3

(3 × 2) - 1 = 5

(5 × 3) - 1 = 14

(14 × 4 ) - 1 = 55

Hence, the next number is 55.

What is the next number? 1, 1, 2, 4, 3, 9, 4

Summary:

The next number of the sequence 1, 1, 2, 4, 3, 9, 4 ….is 16