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How to Solve Square Sequence

    • 1). Determine what number is missing from a square sequence by first determining what its place is in the full line of squares. Square the number of that place to find the number that belongs.

    • 2). Practice by finding the missing value "x" in the following sequence: 36, 49, 64, 81, x ... Note that the dots mean that there are numbers preceding and following the sequence that aren't shown. Ignore the following dots because you need only solve for "x."

    • 3). Write out the squares that precede the start of this sequence by squaring numbers, starting with 1, until you've hit 36, which starts our sequence. Show your work (answers in parenthesis): 1^2 = (1), 2^2 = (4), 3^2 = (9), 4^2 = (16), 5^2 = (25) and 6^2 = (36), so you can stop squaring numbers.

    • 4). Write the preceding squares along with the given sequence: 1, 4, 9, 16, 25, 36, 49, 64, 81, x. Count how many places "x" falls in the line and square that number to solve: x = 10^2 = 100.

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