The given values are .
The nth term of the arithmetic series ,
Where is the first term and
is the nth term.
(Substitute
)
Distribute terms using distributive property: .
(Product of two same signs is positive)
(Add: 91 + 4 = 95)
Apply subtraction 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: 91 + 15 = 106)
(Multiply:
)
(Divide:
)
The value of .