Answer:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
2
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
2
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
3
and
d
=
2
.
a
n
=
3
+
(
2
)
(
n
−
1
)
Simplify each term.
Tap for more steps...
a
n
=
3
+
2
n
−
2
Subtract
2
from
3
.
a
n
=
2
n
+
1
sorry for the writing , cuz the keys are broken
