The given values .
Where is the first term and
is the common difference.
The sum of an arithmetic series .
(Substitute
)
(Add:
)
Apply multiplication property of equality: a = b then .
(Multiply each side by 2)
(Cancel common term)
(Multiply:
)
Apply division property of equality: a = b then .
(Divide each side by 121)
(Cancel common term)
(Divide:
)
Apply nth term of the arithmetic sequence formula: .
(Substitute
)
(Subtract:
)
Apply subtraction property of equality: a = b then .
(Subtract 11 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: a = b then .
(Divide each side by 11)
(Cancel common terms)
d = 9 (Divide: )
The 1st term is , 2nd term is
3rd term is
The first three terms of the arithmetic series is 11, 20, and 29.