ANS:C - 72

The explanation describes a pattern where numbers in a sequence follow the square numbers, from 1 to 6, and each square number is multiplied by 2. Here’s a detailed breakdown of how to understand and apply this pattern:

Explanation of the Pattern:

1. Square Numbers:
   • The sequence starts with the square numbers from 1 to 6:
     • 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
     • 62=366^2 = 3662=36
2. Multiplication by 2:
   • Each square number is multiplied 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

Applying the Pattern:

To determine or verify the result:

1. Generate the Sequence:
   • Start with the square numbers from 1 to 6.
   • Multiply each by 2.
2. List the Results:
   • 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

Example:

If the pattern is followed correctly, the sequence of numbers should be:

• 2, 8, 18, 32, 50, 72

In this sequence, the number 72 is the result of multiplying the square number 36 (which is 626^262) by 2.

Conclusion:

The provided answer 72 is the correct result based on the pattern described. Each number in the sequence is the result of multiplying the square numbers from 1 to 6 by 2. The final number 72 confirms that the pattern is accurately applied.