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.