From above given series , we can see that
Next term = Previous term × n + n2 { putting n = 1 , 2 , 3 , 4 , 5 , 6 respectively }
Second term = 3 × 1 + 12 = 3 + 1 = 4 ;
Third term = 4 × 2 + 22 = 8 + 4 = 12 ;
Fourth term = 12 × 3 + 32 = 36 + 9 = 45 ;
Fifth term = 45 × 4 + 42 = 132 + 16 = 190; 190 is wrong. It should be 196. Here, 190 is the wrong number.
Sixth term = 196 × 5 + 52 = 980 + 25 = 1005 ;
Seventh term = 1005 × 6 + 62 = 6030 + 36 = 6066 .
New series is
First term = 190 × 1 + 12 = 192;
Second term = 190 × 2 + 22 = 384.
Hence Second term of new series is 384 .
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Answer B
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Option (d) is correct
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