1. Find the 5th term of (4x/5 -5/2x)
Answers
Answer:
Find the
5
t
h
term of
(
4
x
−
y
)
8
Examine Pascal's triangle below, and find the
8
t
h
row where the first row is row "zero". Use the
8
t
h
row because the exponent on the binomial is
8
.
The
8
t
h
row is
1
,
8
,
28
,
56
,
70
,
56
,
28
,
8
,
1
.
Because we are looking for the
5
t
h
term, use the
5
t
h
number in this row, which is
70
.
The number
70
is used as a preliminary coefficient of the
5
t
h
term.
The next part of the
5
t
h
term is first term of the binomial
(
4
x
)
raised to the exponent
4
as found by counting down from
8
from the left.
The last part of the
5
t
h
term is the 2nd term of the binomial
(
−
y
)
raised to the exponent
4
as found by counting down from 8 from the right.
Note that the two exponents,
4
and
4
, should add up to
8
because the exponent on the original binomial is
8
.