The given values are
.
Where
is the first term and
is the common difference.
The sum of an arithmetic series
.
(Substitute
)
(Subtract:
)
(Multiply:
)
Apply multiplication property of equality: a = b then
.
(Multiply each side by 2)
(Cancel common terms)
Apply division property of equality: a = b then
.
(Divide each side by 18)
(Cancel common terms)
Apply addition property of equality: a = b then
.
(Add 34 to each side)
(Apply additive inverse property:
)
(Apply additive addition property:
)
(Add: 2 + 34 = 36)
Apply division property of equality: a = b then
.
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
The value of
.