Question

name the first five terms of each arithmetic sequence descried.
a_(1) =3 d=-1

Answer 1

To find the first five terms of the arithmetic sequence with the first term \( a_1 = 3 \) and common difference \( d = -1 \), we can use the formula for the \( n \)-th term of an arithmetic sequence:

\[
a_n = a_1 + (n-1) \cdot d
\]

Now, we can calculate the first five terms:

1. **First term** \( (a_1) \):
\[
a_1 = 3
\]

2. **Second term** \( (a_2) \):
\[
a_2 = a_1 + d = 3 + (-1) = 2
\]

3. **Third term** \( (a_3) \):
\[
a_3 = a_2 + d = 2 + (-1) = 1
\]

4. **Fourth term** \( (a_4) \):
\[
a_4 = a_3 + d = 1 + (-1) = 0
\]

5. **Fifth term** \( (a_5) \):
\[
a_5 = a_4 + d = 0 + (-1) = -1
\]

So, the first five terms of the arithmetic sequence are:

**3, 2, 1, 0, -1**.