puz-number-sequences-01
Write the gap between each pair of neighbouring terms underneath the run and check they all match.
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Write the gap between each pair of neighbouring terms underneath the run and check they all match.
Subtract each term from the one before it, and count the size of the gap rather than the numbers inside it.
Divide each term by the one before it; if those results agree, you have the rule.
Find the step from a pair you can see, apply it once to the term on the left of the blank, then check forwards.
Carry on subtracting the same amount past zero instead of treating zero as a floor the run must land on.
Work out the multiplier from two different pairs of neighbours before you use it on the blank.
Read every other term as a run of its own, starting from the very first term.
Write the differences in one row, then take the differences of that row as well.
Ask what each term is the square of, and write those roots in a row of their own.
Add each pair of neighbouring terms and see whether the total is already sitting in the run.
State the rule as a sentence with the two operations in order, then apply it exactly once.
Difference the run, then difference that row too, and see how the second row is changing.
Label each step with the operation that produced it, then read off which operation is due.
Write the cubes 1, 8, 27, 64, 125 beneath the run and look at the difference between the rows.
Number the places 1, 2, 3 and ask what each term is made of once you know its place.
The terms in the even places form a run of their own, and the last of them is already printed.
Work out the gaps you can see, continue the pattern in the gaps, then check your value against the terms on the right.
Divide each term by the one before it, then treat those results as a little run in their own right.
Add the digits of each term together and compare that total with the step that follows it.
Try subtracting a small constant from every term and see whether the results are a list you already know.
Take the terms in the even places on their own, and use the very last term of the line to test your rule.
Try previous term plus a multiple of the term before that, and test the multiple on every printed term.
Keep differencing until a row stops changing, then rebuild the table from the bottom row upwards.
Divide each step by the digit sum of the term it starts from, and look at what those four results spell out.
Number the even places 1, 2, 3, 4, 5 and compare each of those terms with its own place number.