Instructions

What should come in place of the question mark (?) in the following number series?

Question 159

56, 54, 58, 50, 66, ?

Solution

Let the missing number be x

Here , a pattern is getting formed between consecutive numbers.

54−56 =$$(-2)^1$$

58−54= $$(-2)^2$$

50−58= $$(-2)^3$$

66−50= $$(-2)^4$$

As we can see that the difference is of the form $$(-2)^{n}$$

so for missing number x,

x−66= $$(-2)^{5}$$

This implies that x is 34

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