Help please fill out empty spots

See the attached image below for the filled out chart.

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Explanation:

Part 1

Pick any term and subtract off its previous term

So for instance 4.2 - 4.1 = 0.1

Or you could say 4.3-4.2 = 0.1

Whichever pair you pick, you should find that the common difference is 0.1

This means we add 0.1 to each term to get the next term. Therefore, the recursive rule is which says "add 0.1 to the (n-1)th term to get the nth term". The (n-1)th term is the term just before the nth term.

The first term is as shown in the given sequence 4, 4.1, 4.2, ...

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Part 2

We'll follow the same idea as part 1.

Subtract any two adjacent terms

-10-(-7) = -10+7 = -3

We add -3 to each term to get the next. This is the same as subtracting 3 from each term, which is reflected in

The first term is

Everything is summarized in the diagram below.

d

step-by-step explanation: