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Which of the following numbers will replace the question mark (?) in the given series? 24, 28, 35, 48, 73, ?
Question

Which of the following numbers will replace the question mark (?) in the given series?
24, 28, 35, 48, 73, ?

A.

122

B.

121

C.

120

D.

123

Correct option is A

Given:
24, 28, 35, 48, 73, ?
Logic:
Difference of two constitutive number is increasing from 4, 7, 13, 25.
28 - 24 = 4
35- 28 = 7 
48 - 35 = 13
73 - 48 = 25
Differences between these differences:
7 -4 = 3
13 - 7 = 6
25 - 13 = 12
Second differences are: 3, 6, 12. The second differences are doubling 
the next difference should be 12 + 12 = 24
The next difference in the original series will be 25 + 24 = 49 
the next term in the series, add the difference (49) to the last term (73)
73+ 49 = 122
Thus, correct option is (a)
Alternate:
The second differences are doubling 12+12 = 24
Add the difference (49) to the last term (73)
Thus, correct option is (a)​​

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