Direction: Directions : What will come in the place of question mark (?) in the following number.
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2, 11, 38, 197, ? , 1170, 8227, 65806
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- 1170
- 1172
- 1174
- 1178
- 1180
Correct Option: C
As per the details in the question the series is in the form of
First term = 2
Second term = First term × 3 + 5
⇒ Second term = 2 × 3 + 5 = 11
Third term = Second term × 4 - 6
⇒ Third term = 11 × 3 + 5 = 38
Fourth term = Third term × 5 + 7
⇒ Fourth term = 38 × 5 + 7 = 197 ;
Fifth term = Fourth term × 6 - 8
⇒ Fifth term = 197 × 6 - 8 = ?
∴ ? = 1174
Similarly , we can find all others terms also.
Sixth term = Fifth term × 7 + 9
⇒ Sixth term = 1174 × 7 + 9 = 8227;
Seventh term = Sixth term × 8 - 10
⇒ Sixth term = 1174 × 8 - 10 = 65806
Hence , Fifth term = 1174