ANS:C - 72

Structure of the Pattern:

1. Sequence of Square Numbers:
   • The sequence starts with square numbers. The first six square numbers are 12,22,32,42,52,1^2, 2^2, 3^2, 4^2, 5^2,12,22,32,42,52, and 626^262.
2. Multiply Each Square Number by 2:
   • Each square number in the sequence is then multiplied by 2.

Explanation of the Pattern:

1. Identify Square Numbers:
   • List the first six square numbers: 12=11^2 = 112=1, 22=42^2 = 422=4, 32=93^2 = 932=9, 42=164^2 = 1642=16, 52=255^2 = 2552=25, and 62=366^2 = 3662=36.
2. Multiply by 2:
   • Multiply each square number by 2 to get the final sequence.

Step-by-Step Process:

1. Calculate Square Numbers:
   • Square numbers are: 1,4,9,16,25,361, 4, 9, 16, 25, 361,4,9,16,25,36
2. Multiply Each by 2:
   • Multiply each number by 2: 1×2=21 \times 2 = 21×2=2 4×2=84 \times 2 = 84×2=8 9×2=189 \times 2 = 189×2=18 16×2=3216 \times 2 = 3216×2=32 25×2=5025 \times 2 = 5025×2=50 36×2=7236 \times 2 = 7236×2=72
3. Result:
   • The final sequence after multiplying by 2 is: 2,8,18,32,50,722, 8, 18, 32, 50, 722,8,18,32,50,72

Conclusion: