Type the missing number in this sequence: 6, 36, 216, _____, 7,776

Identify Sequence Type: Is the given sequence geometric or arithmetic? Each term seems to be multiplied by a common ratio to obtain the next number. The given sequence appears to be geometric. Find Common Ratio: Find the common ratio in the geometric sequence. Two consecutive terms are 6 and 36. 36 / 6 = 6 Common Ratio: 6 Calculate Missing Number: We multiply each term by the common ratio to get the next term. Sequence: 6, 36, 216, _____, 7,776 Common Ratio: 6 Find the missing number in the sequence. The number before the missing term is 216. 216 * 6 = 1,296 Missing Number: 1,296Verify Sequence: Verify the sequence with the missing number filled in. Sequence: 6, 36, 216, 1,296, 7,776 Check if 1,296 multiplied by the common ratio 6 gives the next term 7,776. 1,296 * 6 = 7,776 The sequence is correct.

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Type the missing number in this sequence: $\newline$ $6,\;36,\;216,\;\_\_\_\_,\;7,776$

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Algebra 2

Find terms of a geometric sequence

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Q. Type the missing number in this sequence:

\newline

6,\;36,\;216,\;\_\_\_\_,\;7,776

Identify Sequence Type: Is the given sequence geometric or arithmetic? Each term seems to be multiplied by a common ratio to obtain the next number. The given sequence appears to be geometric.
Find Common Ratio: Find the common ratio in the geometric sequence. Two consecutive terms are $6$ and $36$ . $\frac{36}{6} = 6$ Common Ratio: $6$
Calculate Missing Number: We multiply each term by the common ratio to get the next term. $\newline$ Sequence: $6$ , $36$ , $216$ , _____, $7,776$ $\newline$ Common Ratio: $6$ $\newline$ Find the missing number in the sequence. $\newline$ The number before the missing term is $216$ . $\newline$ $216 \times 6 = 1,296$ $\newline$ Missing Number: $1,296$
Verify Sequence: Verify the sequence with the missing number filled in. $\newline$ Sequence: $6, 36, 216, 1,296, 7,776$ $\newline$ Check if $1,296$ multiplied by the common ratio $6$ gives the next term $7,776$ . $\newline$ $1,296 \times 6 = 7,776$ $\newline$ The sequence is correct.