The given values are
.
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 terms)
(Multiply:
)
Apply division property of equality: a = b then
.
(Divide each side by 414)
(Cancel common terms)
(Divide:
)
Apply nth term of the arithmetic sequence formula:
.
(Substitute
)
(Subtract:
)
Apply addition property of equality: a = b then
.
(Add 13 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add: 427 + 13 = 440)
Apply division property of equality: a = b then
.
(Divide each side by 88)
(Cancel common terms)
d = 5 (Divide:
)
The 1st term is
, 2nd term is
,
3rd term is
,
The first three terms of the arithmetic series is
.