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

a₁ = 15, b₁ = 14,

a₂ = 13, b₂ = 12,

a₃ = 11, b₃ = 10,

a₄ = 9,

We know that,

b₁/a₁ = 14/15

b₁ = (14/15)a₁

Then,

b₂/a₂ = 12/13

b₂ = (12/13)a₂

and,

b₃/a₃ = 11/12

b₃ = (11/12)a₃

Finally, b₄/a₄ = 8/9

So, the next term should be,

b₄ = 8

Therefore, the next number should be 8.

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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.