Question

find the general term of the arithmetic sequence 3,-1 ,-5 ,-9

Answer 1

Each is 4 less than the one before.

Answer 2

the choices are an=7+4n , an=7-4n , an=3+4n, an=3-4n

is it an=3-4n ?

Answer 3

Yes. 3 - 4n

Answer 4

thank you

Answer 5

are you there?

Answer 6

You're welcome.

Answer 7

[AI-generated answer — Explain Bot]

To find the general term of an arithmetic sequence, we need to identify the common difference and the first term.

In this given sequence, the first term (a₁) is 3. To find the common difference (d), we can subtract any two consecutive terms. By subtracting -1 from 3, we get 4. Similarly, subtracting -5 from -1 gives us 4, and subtracting -9 from -5 also gives us 4. Therefore, the common difference is 4.

Now that we have the first term (a₁ = 3) and the common difference (d = 4), we can find the general term (aₙ) using the formula:

aₙ = a₁ + (n - 1) * d

Here, n represents the position of the term in the sequence that we want to find.

Let's substitute the values into the formula:

aₙ = 3 + (n - 1) * 4

Simplifying further:

aₙ = 3 + 4n - 4

Combining like terms:

aₙ = 4n - 1

Therefore, the general term of the arithmetic sequence 3, -1, -5, -9 is 4n - 1.