Answer:
General term
=
n
t
h
t
e
r
m
=
a
n
=
5
n
+
2
Step-by-step explanation:
Here,
7
,
12
,
17
,
22
,
27
,
...
is an Arithmetic Sequence.
The
,
n
t
h
term of Arithmetic Sequence is :
a
n
=
a
1
+
(
n
−
1
)
d
,
w
h
e
r
e
,
a
1
=
first term and
d
=
common difference
We have,
a
1
=
7
and
d
=
12
−
7
=
17
−
12
=
...
=
5
So,
a
n
=
7
+
(
n
−
1
)
⋅
5
a
n
=
7
+
5
n
−
5
a
n
=
5
n
+
2
Hence,
General term
=
n
t
h
t
e
r
m
=
a
n
=
5
n
+
2
Step-by-step explanation: