Type the missing number in this sequence: 4, 16, 64, _____, 1,024, 4,096

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 4 and 16. 16 / 4 = 4 Common Ratio: 4 Multiply by Common Ratio: We multiply each term by the common ratio to get the next term. Sequence: 4, 16, 64, _____, 1,024, 4,096 Common Ratio: 4 Find the missing number in the sequence. The number before the missing term is 64. 64 * 4 = 256 Missing Number: 256Find Missing Number: Verify the found number by checking if the next term after the missing number, when divided by the missing number, equals the common ratio. 1,024 / 256 = 4 The common ratio is consistent.

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Type the missing number in this sequence: $\newline$ $4$ , $16$ , $64$ , $\_$ , $1,024$ , $4,096$

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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

4

16

64

\_

1,024

4,096

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 $4$ and $16$ . $\frac{16}{4} = 4$ Common Ratio: $4$
Multiply by Common Ratio: We multiply each term by the common ratio to get the next term. $\newline$ Sequence: $4, 16, 64, \_, 1,024, 4,096$ $\newline$ Common Ratio: $4$ $\newline$ Find the missing number in the sequence. $\newline$ The number before the missing term is $64$ . $\newline$ $64 \times 4 = 256$ $\newline$ Missing Number: $256$
Find Missing Number: Verify the found number by checking if the next term after the missing number, when divided by the missing number, equals the common ratio. $\newline$ $1,024 / 256 = 4$ $\newline$ The common ratio is consistent.