# Read the numbers and decide what the next number should be. 15, 14, 13, 12, 11, 10, 9,…?

**Solution:**

It is given that,

numbers 15, 14, 13, 12, 11, 10, 9,….

We know to find the sequence as

a_{1} = 15, b_{1} = 14,

a_{2} = 13, b_{2} = 12,

a_{3} = 11, b_{3} = 10,

a_{4} = 9,

We know that,

b_{1}/a_{1} = 14/15

b_{1} = (14/15)a_{1}

Then,

b_{2}/a_{2} = 12/13

b_{2} = (12/13)a_{2}

and,

b_{3}/a_{3} = 11/12

b_{3} = (11/12)a_{3}

Finally, b_{4}/a_{4} = 8/9

So, the next term should be,

b_{4} = 8

Therefore, the next number should be 8.

## Read the numbers and decide what the next number should be. 15, 14, 13, 12, 11, 10, 9,…?

**Summary:**

The next number in 15, 14, 13, 12, 11, 10, 9,… should be 8.