Question

Insert the missing number:
172, 84, 40, 18​

Answer 1

Answer:

7 will be the no after 18

Answer 2

SOLUTION

COMPLETE QUESTION

TO DETERMINE

Insert the missing number :

172 , 84 , 40 , 18 , ?

EVALUATION

Here the given sequence is

172 , 84 , 40 , 18

We see the pattern

1st term = 172

$\displaystyle\sf 2nd \: term = \frac{172 - 4}{2} = \frac{168}{2} = 84$

$\displaystyle\sf 3rd \: term = \frac{84 - 4}{2} = \frac{80}{2} = 40$

$\displaystyle\sf 4th \: term = \frac{40 - 4}{2} = \frac{36}{2} = 18$

The pattern is as below

$\displaystyle\sf (n + 1)th \: term = \frac{nth \: term - 4}{2}$

Thus the required next tern

$\displaystyle\sf = \frac{18 - 4}{2}$

$\displaystyle\sf = \frac{14}{2}$

$\displaystyle\sf = 7$

FINAL ANSWER

Hence the required missing number = 7

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