What is the next number in the sequence 9….3….1….1/3?

What is the next number in the sequence 9….3….1….1/3?

Answer

1/9

The sequence is 9, 3, 1, 1/3, 1/9.

Explanation

The given sequence is a geometric progression.

The first term is 9 and the second term is 3. It is obtained by dividing 9 by 3.

Similarly, the third term (1) is obtained by dividing the second term (3) by 3.

Down the line, the fifth term is obtained by dividing the fourth term by 3.

So, 4th term = 3rd term / 3 = (1/3) / 3 = 1/ 9

Thus, the next number in the sequence 9….3….1….1/3 is 1/9.

The sequence is 9, 3, 1, 1/3, and 1/9.