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Type the missing number in this sequence:\newline11, 44, 1616, 6464, _\_, 1,0241,024

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Find terms of a geometric sequenceright chevron icon

Full solution

Q. Type the missing number in this sequence:\newline11, 44, 1616, 6464, _\_, 1,0241,024
  1. 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.
  2. Find Common Ratio: Find the common ratio in the geometric sequence. Two consecutive terms are 11 and 44. 41=4\frac{4}{1} = 4 Common Ratio: 44
  3. Calculate Missing Number: We multiply each term by the common ratio to get the next term. \newlineSequence: 1, 4, 16, 64, _____, 1,024\newlineCommon Ratio: 44\newlineFind the missing number in the sequence. \newlineThe number before the missing term is 6464. \newline64×4=25664 \times 4 = 256\newlineMissing Number: 256256

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