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State a rule and write down the next two terms of the following
(a) 90,10,80,20,70,30

1 Answer

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Answer:

The rule is that all odd terms: 1,3,5... is being subtracted by 10; and all the even terms 2,4,6... is being added by 10.

7th term is 60.

8th term is 40.

The rule with 8 terms would be: 90,10,80,20,70,30,60,40...

Explanation:

For example the first term is 90, the third term is 80, and the fifth term is 70 (1,3,5 are all odd numbers and they have a difference of -10 on all of them.

Finally, the second term is 10, the fourth term is 20, and the sixth term is 30 (2,4,6, are all even numbers and they have a difference of +10 between them)

To find the next two terms is easy, take the last odd terms value and subtract 10 to find the next odd number term, then take the last even term and add 10 to find the next even term value so:

6 terms are given so you need to find the 7th and 8th term.

To find the 7th term take the value of the 5th term which is 70 and subtract by 10 which is, (70-10 = 60) So the 7th term is 60.

To find the 8th term take the 6th term which is 30 and add 10, (30+10=40) So the 8th term is 40.

Hope this helps!

Ace Carlos

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