State the term to term rule of each of the following sequences. 1,7,13,...
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This is clearly an arithmetic sequence because the terms differ by 2 each time.
To find the nth term rule we need:
a value for the first term , a
and a value for the common difference d .
These values are then plugged into the formula:
T
n
=
a
+
(
n
−
1
)
d
a
=
1
and
d
=
2
T
n
=
a
+
(
n
−
1
)
d
T
n
=
1
+
(
n
−
1
)
2
T
n
=
1
+
2
n
−
2
T
n
=
2
n
−
1
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