120, 80, 40, 45,?, 5. Find the missing number.

Given, 120 , 80 , 40 , 45 , ? , 5

This series is the combination of two different series .e.g., 120, 80 , 40 and 45, ? , 5

Here in 120, 80, 40 are in AP where common difference is -40.

we know, difference between two consecutive terms of arithmetic progression always remains same.

Let unknown number is x.

then, x – 45 = 5 – x

or, x + x = 45 + 5

or, 2x = 50

or, x = 25

The answer is 25.

The series is 120 , 80 , 40 , 45 , 25 , 5 …

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