The given values are
.
Where
is the first term and
is the common difference.
The sum of an arithmetic series
.
(Substitute
)
Apply multiplication property of equality: a = b then
.
(Multiply each side by 2)
(Cancel common terms)
(Multiply:
)
Apply division property of equality: a = b then
.
(Divide each side by 19)
(Cancel common terms)
(Divide:
)
Apply subtraction property of equality: a = b then
.
(Subtract 103 from each side)
(Subtract:
)
Substitute
, n = 19 and
in
.

(Subtract:
)
(Multiply:
)
Apply multiplication property of equality: a = b then
.
(Multiply each side by
)
(Cancel common term)
(Multiply:
)
Apply subtraction property of equality: a = b then
.
(Subtract 26 from each side)
(Subtract:
)
Apply division property of equality: a = b then
.
(Divide each side by 18)
(Cancel common terms)
d = 5 (Divide:
)
The 1st term is
and 2nd term is a + d =
,
3rd term is a + 2d =
.
The first three terms of the series is 13, 18, 23.