The given values are .
Where is the first term and
is the common difference.
The sum of an arithmetic series .
(Substitute
)
(Divide:
)
Apply division property of equality: a = b then .
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
Apply subtraction property of equality: a = b then .
(Subtract 36 from each side)
(Subtract:
)
Find the common difference d, substitute , n = 8 and
in
.
(Subtract:
)
(Multiply:
)
Apply multiplication property of equality: a = b then .
(Multiply each side by
)
(Cancel common term)
(Multiply:
)
Apply addition property of equality: a = b then .
(Add 12 to each side)
(Add: 30 + 12 = 42)
Apply division property of equality: a = b then .
\
(Divide each side by 7)
(Cancel common terms)
d = 6 (Divide: )
The 1st term is and 2nd term is a + d =
.
3rd term is a + 2d = .
The first three terms of the series is .