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 term)
Distribute terms using distributive property: .
Multiply: .
Apply subtraction property of equality: a = b then .
(Subtract 1330 from each side)
(Apply additive inverse property:
)
(Apply additive addition property:
)
(Subtract:
)
Apply division property of equality: a = b then .
(Divide each side by 40)
(Cancel common term)
(Divide:
)
The value of .