Question

Complete the series 1, 6, 6, 36, 216, .....

• A. 7775
• B. 7776
• C. 7777
• D. 7778

Answer 1

The Correct Option is B

The given series is 1, 6, 6, 36, 216, .... To identify the pattern, let's examine the sequence:

1. The first term is 1.
2. The second term is 6, which is 6 times the first term (6 x 1 = 6).
3. The third term remains 6, indicating a switch in multiplication.
4. The fourth term is 36, which is 6 times the third term (6 x 6 = 36).
5. The fifth term is 216, which is 6 times the fourth term (6 x 36 = 216).

Observing these calculations, the pattern is that every other term is multiplied by 6. The terms form pairs: (1, 6), followed by (6, 36), followed by (216, ...). Continuing this multiplication pattern, the next term is:

$6\times 216=1296$

Multiplying 1296 by 6 (applying the same rule):

$6\times 1296=7776$

Therefore, the next term in the series is 7776.