Which number will replace the question mark in the following number series 7 9 13 16 25 29 50 ........

Logical Reasoning (MTS) Number series

Which number will replace the question mark (?) in the following number series?

7, 9, 13, 16, 25, 29, ?, 50

This questions was previously asked in

SSC MTS 11th October 2021 Shift-1

Correct option 4: 45

Given series is - 7, 9, 13, 16, 25, 29, ?, 50

Now, Lets find the difference in consequtive terms -

2, 4, 3, 9, 4,.....

Clearly logic is adding of 2 and 2² then 3, 3² and then 4 , 4².

according the differnce series becomes 2,4,3,9,4,16,5,......

Now the number in place of ? should be : 29+16=45

and next 45+5 =50

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