The given values are .
The nth term of the arithmetic series .
Where is the first term and
is the nth term.
(Substitute
)
(Subtract:
)
(Multiply:
)
Apply subtraction property of equality: a = b then .
(Subtract
from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
The sum of an arithmetic series .
Where is the first term and
is the nth term.
(Substitute
)
(Add:
)
(Divide:
)
The value of .