12 ☐ 10 ☐ 8 7 6 5 4 3 2 1
Which numbers are missing from the sequence so that the sequence has a term-to-term rule?
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12 ☐ 10 ☐ 8 7 6 5 4 3 2 1
Which numbers are missing from the sequence so that the sequence has a term-to-term rule?
It is possible to see that there is a difference of one number between each number.
That is, 1 is added to each number and it will be the next number:
Etcetera. Therefore, the next numbers missing in the sequence will be:
11 , 9
Is there a term-to-term rule for the sequence below?
18 , 22 , 26 , 30
Look at the given numbers first! Here we see 12...10...8,7,6,5,4,3,2,1 getting smaller, so it's decreasing. The numbers go down by 1 each time.
Start with the consecutive numbers you can see clearly! From 8,7,6,5,4,3,2,1, the difference is -1. Then work backwards to fill the gaps.
That would give us 12,10,10,9,8... which means going from the first 10 to the second 10 has zero difference, breaking the pattern of decreasing by 1.
Count the differences between every consecutive pair: 12-11=1, 11-10=1, 10-9=1, 9-8=1, etc. They should all be the same!
It means there's a consistent pattern between each number and the next one. In this case, each term is 1 less than the previous term.
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