The given values are .
The nth term of the arithmetic series .
Where is the first term and
is the nth term.
(Substitute
)
Apply addition property of equality: a = b then .
\
(Add 2 to each side)
(Add: 9 + 2 = 11)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Apply multiplication property of equality: If a = b then .
(Multiply each side by 3)
(Cancel common terms)
(Multiply:
)
Apply addition property of equality: a = b then .
(Add 1 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
n = 34 (Add: 33 + 1 = 34)
Apply addition property of equality: a = b then .
(Subtract 95 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: a = b then .
(Divide each side by negative 4)
(Cancel common terms)
(Divide:
)
The sum of an arithmetic series
.
Where is the first term and
is the nth term.
(Substitute
)
(Add:
)
(Multiply:
)
(Divide:
)
The value of .