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#### Number Series

Direction: In each of the following questions a number series is given. A number is given after the series and then (a), (b), (c), (d) and (e) are given. According to the given series, you have to form a new series which begins with the given number, and then answer the question asked.

1.  2 3 10 39 172 885 5 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d) ?
1. 244
2. 175
3. 208
4. 196
5. None of these
##### Correct Option: A

As per the details in the question the series is in the form of
First series :-
First term = 2
Second term = First term × 1 + 12
Second term = 2 × 1 + 1 = 2 + 1 = 3
Third term = Second term × 2 + 22
Third term = 3 × 2 + 4 = 6 + 4 = 10
similarly , we can find the all others terms .
Second series :-
First term = 5
Second term = First term × 1 + 12
Second term = 5 × 1 + 1 = 5 + 1 = 6
Third term = Second term × 2 + 22
Third term = 6 × 2 + 4 = 12 + 4 = 16
Fourth term = Third term × 3 + 32
Fourth term = 16 × 3 + 9 = 57
Fifth term = Fourth term × 4 + 42
Fifth term = 49 × 4 + 16 = 244
Hence , the place value of ( d ) is 244 .