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Question

Find the missing number.

120,80,40,45,?,5


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Solution

Find the missing number.

The given series is, 120,80,40,45,?,5

It is observed that the given series is the combination of two different series 120,80,40and45,?,5.

The first series 120,80,40 are in AP where the common difference is -40.

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

Let the unknown number is x

x-45=5-xx+x=5+452x=50x=502x=25

Hence, the missing number is 25.


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