Type the missing number in this sequence: 6, 36, _____, 1,296, 7,776, 46,656

Identify Relationship Between Numbers: To find the pattern in the sequence, let's look at the relationship between the first two numbers. We calculate 36 ÷ 6 to see if there's a multiplication factor. 36 ÷ 6 = 6 So, it seems each number might be 6 times the previous number.Confirm Multiplication Factor: To confirm the pattern, let's check if 1,296 is 6 times 36. We calculate 1,296 ÷ 36. 1,296 ÷ 36 = 36 This confirms that the pattern is indeed each number being 6 times the previous number.Calculate Missing Number: Now, let's find the missing number by multiplying 36 by 6. We calculate 36 × 6. 36 × 6 = 216 So, the missing number in the sequence should be 216.Verify Pattern with Missing Number: To ensure there are no mistakes, let's verify that 216 fits the pattern by checking if the next number, 1,296, is 6 times 216. We calculate 216 × 6. 216 × 6 = 1,296 This confirms that 216 is the correct missing number in the sequence.

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Type the missing number in this sequence: $\newline$ $6$ , $36$ , _____, $1,296$ , $7,776$ , $46,656$

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Precalculus

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Q. Type the missing number in this sequence:

\newline

6

36

, _____,

1,296

7,776

46,656

Identify Relationship Between Numbers: To find the pattern in the sequence, let's look at the relationship between the first two numbers. $\newline$ We calculate $36 \div 6$ to see if there's a multiplication factor. $\newline$ $36 \div 6 = 6$ $\newline$ So, it seems each number might be $6$ times the previous number.
Confirm Multiplication Factor: To confirm the pattern, let's check if $1,296$ is $6$ times $36$ . We calculate $1,296 \div 36$ . $1,296 \div 36 = 36$ This confirms that the pattern is indeed each number being $6$ times the previous number.
Calculate Missing Number: Now, let's find the missing number by multiplying $36$ by $6$ . We calculate $36 \times 6$ . $36 \times 6 = 216$ So, the missing number in the sequence should be $216$ .
Verify Pattern with Missing Number: To ensure there are no mistakes, let's verify that $216$ fits the pattern by checking if the next number, $1,296$ , is $6$ times $216$ . We calculate $216 \times 6$ . $216 \times 6 = 1,296$ This confirms that $216$ is the correct missing number in the sequence.