The 5th term is and 10th term is
.
(Apply nth term of an arithmetic sequence formula: )
(Substitute
)
(Substitute 115 for
)
-----------------------> (1)
-----------------------> (2)
(Subtracting equation (1) from (2))
(Divide each side by negative 5)
(Simplify)
(Substitute
for d)
(Add 60 to each side)
(Simplify)
First term is and common difference is
.
(Apply nth term of an arithmetic sequence formula: )
(Substitute
and
for d)
The nth term of the arithmetic sequence formula is .