Type the missing number in this sequence: 6, _____, 216, 1,296, 7,776

Observe Pattern: Let's observe the pattern in the given sequence. We notice that each number seems to be a multiple of 6, and it looks like each subsequent number is a power of 6. To confirm this, let's check if 216, 1,296, and 7,776 are indeed powers of 6.Check 216: First, we check if 216 is a power of 6. We can do this by repeatedly dividing 216 by 6 until we reach 1 or a non-integer number. 216 ÷ 6 = 36 36 ÷ 6 = 6 6 ÷ 6 = 1 Since we reached 1 by dividing by 6 three times, 216 is 6 to the power of 3 (6^3).Check 1,296: Next, we check if 1,296 is a power of 6. We use the same method as before. 1,296 ÷ 6 = 216 (which we already know is 6^3) So, 1,296 is 6^4.Check 7,776: Finally, we check if 7,776 is a power of 6. 7,776 ÷ 6 = 1,296 (which we already know is 6^4) So, 7,776 is 6^5.Confirm Pattern: Now that we have confirmed the pattern, we can see that the sequence is increasing by one power of 6 each time. The sequence starts with 6, which is 6^1. The next term should be 6^2, followed by 6^3, 6^4, and 6^5.Calculate Missing Number: Let's calculate 6^2 to find the missing number in the sequence. 6^2 = 6 * 6 = 36 So, the missing number in the sequence is 36.

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Type the missing number in this sequence: $\newline$ $6$ , $\_$ , $216$ , $1,296$ , $7,776$

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Q. Type the missing number in this sequence:

\newline

6

\_

216

1,296

7,776

Observe Pattern: Let's observe the pattern in the given sequence. We notice that each number seems to be a multiple of $6$ , and it looks like each subsequent number is a power of $6$ . To confirm this, let's check if $216$ , $1,296$ , and $7,776$ are indeed powers of $6$ .
Check $216$ : First, we check if $216$ is a power of $6$ . We can do this by repeatedly dividing $216$ by $6$ until we reach $1$ or a non-integer number. $\newline$ $216 \div 6 = 36$ $\newline$ $36 \div 6 = 6$ $\newline$ $6 \div 6 = 1$ $\newline$ Since we reached $1$ by dividing by $6$ three times, $216$ is $6$ to the power of $6$ $2$ ( $6$ $3$ ).
Check $1,296$ : Next, we check if $1,296$ is a power of $6$ . We use the same method as before. $\newline$ $1,296 \div 6 = 216$ (which we already know is $6^3$ ) $\newline$ So, $1,296$ is $6^4$ .
Check $7,776$ : Finally, we check if $7,776$ is a power of $6$ . $7,776 \div 6 = 1,296$ (which we already know is $6^4$ ) So, $7,776$ is $6^5$ .
Confirm Pattern: Now that we have confirmed the pattern, we can see that the sequence is increasing by one power of $6$ each time. The sequence starts with $6$ , which is $6^1$ . The next term should be $6^2$ , followed by $6^3$ , $6^4$ , and $6^5$ .
Calculate Missing Number: Let's calculate $6^2$ to find the missing number in the sequence. $\newline$ $6^2 = 6 \times 6 = 36$ $\newline$ So, the missing number in the sequence is $36$ .