Video: Writing the Following Terms in a Given Arithmetic Sequence

Bethani Gasparine

What are the next three terms in the arithmetic sequence 15.8, 14.6, 13.4, 12.2, _.

01:19

Video Transcript

What are the next three terms in the arithmetic sequence 15.8, 14.6, 13.4, and 12.2.

In an arithmetic sequence, we add a constant to each term to get the following term. And that constant that we add we call the common difference. And the way that we can find the common difference is we can take a term and then subtract the previous term from it. So if we take 14.6 and subtract the previous term 15.8, we get negative 1.2. So that means to get the next term, we need to take 14.6 and subtract 1.2, and that would indeed get us 13.4. And if we would take 13.4 and subtract 1.2, we get 12.2 which was our next term.

So to find the next three terms in this arithmetic sequence, we need to take 12.2 and subtract 1.2. And we get 11. And now to get the next term, we take 11 and subtract 1.2. And we get 9.8. And lastly, we take 9.8 and subtract 1.2 again. And we get 8.6.

So the next three terms in this sequence would be 11, 9.8, and 8.6.

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