Question Details

Find the number that completes the given sequence:


5, 10, 21, 44, ?

Options

A

95

B

91

C

93

D

89

Show Answer

Correct Answer :

Option C

93

Solution :

The correct option is 93.


To find the missing number in the sequence 5, 10, 21, 44, ?, let us analyze the relationship between consecutive terms.


Notice the pattern applied to obtain each subsequent term:


First term to second term:

5×2+0=10


Second term to third term:

10×2+1=21


Third term to fourth term:

21×2+2=44


Following this pattern, each step multiplies the previous number by 2 and adds an increasing integer starting from 0 (0, 1, 2, 3, ...).


Therefore, to find the fifth term (?):

44×2+3=88+3=93


Thus, the missing number completing the sequence is 93.

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