Type the missing number in this sequence: 1, 6, 36, _____, 1,296

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 1 and 6. 6 / 1 = 6 Common Ratio: 6 Multiply to Find Next Term: We multiply each term by the common ratio to get the next term. Sequence: 1, 6, 36, _____, 1,296 Common Ratio: 6 Find the missing number in the sequence. The number before the missing term is 36. 36 * 6 = 216 Missing Number: 216Find Missing Number: Verify the found number by checking if the next term after the missing number is correctly obtained by multiplying with the common ratio. 216 * 6 = 1,296 Check if this is true. 216 * 6 = 1,296 is correct.

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Type the missing number in this sequence: $\newline$ $1$ , $6$ , $36$ , $\_$ , $1,296$

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Math Problems

Algebra 2

Find terms of a geometric sequence

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Q. Type the missing number in this sequence:

\newline

1

6

36

\_

1,296

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 $1$ and $6$ . $\frac{6}{1} = 6$ Common Ratio: $6$
Multiply to Find Next Term: We multiply each term by the common ratio to get the next term. $\newline$ Sequence: $1, 6, 36, \_, 1,296$ $\newline$ Common Ratio: $6$ $\newline$ Find the missing number in the sequence. $\newline$ The number before the missing term is $36$ . $\newline$ $36 \times 6 = 216$ $\newline$ Missing Number: $216$
Find Missing Number: Verify the found number by checking if the next term after the missing number is correctly obtained by multiplying with the common ratio. $\newline$ $216 \times 6 = 1,296$ $\newline$ Check if this is true. $\newline$ $216 \times 6 = 1,296$ is correct.