If a fixed number is added to each term of an arithmetic sequence, is the resulting sequence an arithmetic sequence? explain

Question

Mathematics

Helena

6 January, 06:10

If a fixed number is added to each term of an arithmetic sequence, is the resulting sequence an arithmetic sequence? explain

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Answers (1)

Know the Answer?

Aliyah Hernandez · Answer 1

Yes.

Step-by-step explanation:

If we add a fixed number to each term of an arithmetic sequence, we are still going to be having an arithmetic sequence.

For example, given the following sequence:

1, 3, 5, 7, 9, 11 ...

The difference between consecutive terms is 2, therefore the pattern is adding two to the previous term.

If we add a fix number, let's say '3':

1+3, 3+3, 5+3, 7+3, 9+3, 11+3 ...

4, 6, 8, 10, 12, 14 ...

We notice that the pattern is the same, and it's still an arithmetic sequence.